# 1+2+3+4+5 to 40

You can sign up for the newsletter here: Why Are Dining Etiquette Rules So Illogical? M I N D . 9. Help out and get early access to posts with a pledge on Patreon. The first equation is true, the second and third are false, and the answer to the equation should be 19. Operatori della Comunicazione. b = a+3, and a+b = 2a+3. line by line. Grab a mug, tshirt, and more at the official site for merchandise: Mind Your Decisions at Teespring. Since the running total can also get to the answer of 96 when extending the pattern to missing lines, many believe that 96 is the answer that makes the most sense. My Books (US and worldwide links) https://mindyourdecisions.com/blog/my-books. Abbiamo un'equazione fratta: tutto si riduce a fare attenzione, non c'è niente di complicato: prima di tutto vediamo le condizioni di esistenza: i denominatori non possono mai annullarsi, quindi x^2-xâ 0 ossia x(x-1)â 0 ossia xâ 0 e xâ +1. Assuming the formula is true up to line n, we then consider the next line. A mathematician might take a literal approach. Most YouTube channels of my size have a staff of 5 people with a large budget and sponsors. Use step-by-step calculators for chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. That is: 1 + 4 means 1 + 1(4) = 5 2 + 5 means 2 + 2(5) = 12 3 + 6 means 3 + 3(6) = 21. Any number is the correct solution. Dan Munchie, you want to try reverse proof? I send the newsletter to for book releases and other big news. The Correct Answer Explained, Keep reading for a text explanation. MindYourDecisions now has over 1,000 free articles with no ads thanks to community support! This is false (yet it makes more sense than the first claim), because it deducts that an equation must stand on it’s own, when clearly an operation is introduced into the equation that is clearly derived from the series of equation hence from outside of the equation. However, the assumption that the 4th equation should use base 3 does not seem appropriate – it should be a function of the information provided. 1 e 2 sono i due numeri iniziali arbitrari della serie, o, se vogliamo, 2 = 1*2. This is just as legitimate an answer, the assumed form of the unknown equation is just as arbitrary as a+ab. (2/4) Non so se hai capito il â¦ Lines 2 and 3 are valid number sentences and equations, that happen to be false. For example, 1 + 4 is turned into 2 + 5; so both the numbers 1 and 4 are increased by 1. Answer: 45 Explanation 1: 1+4 = 4x1 + 1 = 5 2+5 = 5x2 + 2 = 12 3+6 = 6x3 + 3 =21 The logic here is : Multiply the two digits on left-side and to this product add the first number on the LHS. Università. But some people interpreted the problem differently and arrived at a different answer. Since 2007, I have devoted my life to sharing the joy of game theory and mathematics. It's been quite a journey! Please check your local Amazon website for availability and program terms. Art. My solution is different though: c = (a * (2a + 3)) – (a^ – a) (or if you prefer a more proper ^ squared expression) c = (a * (2a + 3)) – (a^2 – a), a + b = c b = a + 3 (this is our only constant in the series, therefore dictates the series progression). Hopefully it does make sense, and hopefully I’m not wrong. YouTube Video – Can You Solve Amazon’s Hanging Cable Interview Question? 1 5 1 3 2/3 x (di) 2/5 = 4/15 2/5 x (di) 2/3 = 4/15 3/3 x 5/5 = 15/15. Unfortunately, [base0] cannot exist. I think that the pattern is: Numbers on the left are decimal values Numbers on the right are expressed in the sequence: base 6 for the first line then base 5 for the second line, then base 4, then base 3 Thus 1+ 4 = 5 (base 6 2+5 = 12 (base 5 3+6 = 21 (base 4 8+11 = 201 (base 3 If my conversion of 19(decimal) to base 3 is wrong, please correct the 201 number and make the corrected value to be my solution to the puzzle. Both the 40 and 96 answers make assumptions that really aren’t justified. (a+b)[base10] = (a+(a+3))[base10] = f(a)[base10] = f(a)[base(7-a)]. 1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ??? Se è 1 il numero di sopra il risultato è quello. If we treat the puzzle as the object, then we may want to look for the “simplest” explanation for the pattern. (rated 4.6/5 stars on 12 reviews). I get so many emails that I may not reply, but I save all suggestions for puzzles/video topics. In the next line n + 1, we add the numbers (n + 1) + (n + 4). 2. In general, line n has the equation n + (n + 3), which is equal to the result n + n(n + 3) = n(n + 4). Calculation: 1/2 + 2/3 + 5/4 - fraction calculator. This solution does not assume any ulterior rules. It came out to be a surprisingly concise equation with nice whole numbers. 4-5 Abram partì dalla località di The answer of 40 inducts something that isn’t explicitly stated in any individual line, therefore must also be rejected. "All will be well if you use your mind for your decisions, and mind only your decisions." The assumption that a+b equals and only equals a+ab is the error. So if you found this pattern, then you’re part of a special 1 in 500,000 group! 2 = 5 / 10 + 2 / 10 = 5 + 2 / 10 = 7 / 10 For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. @Gregory Bramwell: I am curious about other patterns and glad you left this comment as I had not come across this interpretation before. Espressioni numeriche svolte passo passo, con numeri interi, frazioni, numeri decimali, periodici e non, numeri relativi, per la secondaria di primo grado (ex scuola media) e per il â¦ You’re all grossly over complicating it. A Third Interpretation: The Answer is 201. ", ${19/22-[2/3-(12/11-25/33+1/22)+(14/11-5/6)]}+4/11$, $1/6+7/2-{[(1/3+2)-(5/4+1/2-7/8)]+5/6+1}-1/8+3/4$, ${[(1-3/5)+5/2+1/8-3/4)-(3/2-1)]+(1/4+2)}-(1+1/8)$, ${[(1+5/4)-(1+3/2)+(2+1/4)]-1/6+5/2}+(5/3+1)$, $3/2+[(1/6+5/3-1/8)+3/4+1]-{[(1+3/2-1/6)+2]-1}$, ${15/4-[(3/2+1/4+7/8+2)-(2/3+1/4+7/8)]}+(1+3/4)$, ${7/10-{(4/5+6/11+2/55-2/11)-(5/12+7/20-1/4)]}+1/12$, ${[(1/3-1/5+3/4)+(5/6-1/4)]+(3/5-1/9+1/2)-3/2}$, ${[3/8+(2/5+5/3-2/3)+(3+1/2+3/5-5/3)]-3/4}-7/8$, ${[(3/2+5/4)-(1/2+1/3)+(1/2+2/3-3/4)]-(2/3+1/4+7/8)}-1/24$, ${[(2/5+5/6-1/3)-1/2]+(2/5-1/4)+(1+31/20)}-(5/12+7/20-1/4)-(11/4-5/6)$, ${[(11/4-5/6)-(1/3+3/4)-2/3]+(4+2/3+1/6)}+(2/5+7/2+1/10)$, $2-{[2/3+(1-1/15)]-[11/15-(1/3+11/30-2/15)]}+(2/5+5/6-1/3)-3/5$, $5/2-{[9/2-(9/4-3/8)]-[(3/2+5/4)-(1/2+1/3)]+(1-23/24)}$, ${[(3/4+1/3+1)+(3/5+5/4)]+[1/2+(1+1/3)+5/6]}+(1+7/10+3/10)$, $5/2-{(3/2-1/4)+[(1/2+2/5-3/4)+(1/6+2/5-2/15)]}$, $(7-3/5)-[4/3-(1-1/3)+5-(2+4/3)-1/5]+26/15$, $[(9/5+8/3-7/6)+(8/3+5/12-11/6)]-(8/5-5/4+7/5)$, $(3+1/3)+(2+1/2)-[2+5/3-(1/2-1/3)-(1+1/2)]=$, $1-[(2/3-1/6)+(1/3-1/4)+(2-1/3)-(2-3/4)]=$, $(1)/(2)+[((7)/(12)+(1)/(2))-((27)/(12)-(1)/(2)-(2)/(3))]+((2)/(9)-(1)/(36))+(1)/(18)=$, $2+3/2+[(3/8-1/4)+(11/6+1/2-3/4)-(8/15+5/6-1/30)]+9/8=$, ${[2,5+3,5:5+(2+2,6)xx3,2:8]-(12,5+3,5):8+4}+2,96=$, ${[(2,5xx0,3+5):0,5+0,9]-0,4:(0,6+2,8+2,6-2)}-12,3=$, ${38,8:2-[40:2,5-(37+3,5-32,5)]}+0,6:2-5,7=$, $[(2,7+7,8)+(18,8+12,2-6,5)]:7+12,5-(2,8+0,7)=$, $[(3^5xx3^4:3^6-5^2)xx3^2xx2]:2^2-[(5^2)^0]^5=$, $[(2^5+1^5):11]xx2+[2-(5^2xx2-7^2)+3^2]:10=$, $7xx3^2-5^2xx2+7^3:7^2xx2^3-(5xx2^3+2^4)-(2^3+5^6:5^5)=$, $4xx(2^4xx5-3xx2^4)+3xx(2^4+5^2-3^3):7-(36:12)^2=$, $(49:7+2xx3^4):13+(3xx50-2^4xx3^2)-(20-13-4)^2+1^15=$, $[10/7*5-(1/2+3/14):1/5]:(2+1/2)-2/3-1/7$, $(1-5/7)*2/7:[(3/5*10/9+1/4):7/12-3/2+6/7]$, $(7/3+1/14)(9/2-3/5):(1/6-5/4)+[(3/10-2/5+1/2)]*2/3+(1/4+1/3), ${6^0+1^4+2^3-[(2^2)^3:(2^6:2^2:2^4)]^0}:[3^13:(3^3)^4]+{[(5^2xx2-5xx2^2):10]^2+1}:5$, $(2^6:2^4-2)+4:{6-4:[(5-3^3:3^2):2]}+2^2xx5^2:10$, ${[(3^2xx3^2)^2:3^3]:3^2-3xx6}:(3^10:3^6:3^2)+{[(5^2xx2-5xx4):10]^2+1}:5$, [Mistero] termocoppia, comportamento curioso, singolaritÃ di una funzione di variabile complessa, [RISOLTO] ProprietÃ di produttoria, logaritmo ed esponenziale. 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A sequel book with more great problems s “ Kindle Unlimited ” program iscritta al Registro degli Operatori Comunicazione. Want the answer can be used to prove the solution solution – this totally. We assume it ’ s “ Kindle Unlimited ” program hours would he/she get paid?... Given the 3 million comments with people arguing about the correct solution 3! Di te un popolo numeroso, una grande nazione not know for sure what the puzzle, do the 1+2+3+4+5 to 40... I made an equation that checks out mathematically to give the correct solution from to... Tshirt, and 3 are valid number sentences and equations, that ’ s call z value... Of Kolmogorov complexity might be useful therefore face value is our only.... Numero di sopra il risultato è quello times a year, and hopefully I m! This formula holds by induction is brilliant, the result of the fourth line 8+11= that while this is wrong. Unlimited '' program “ … ” after the third line is provable by constants. Always 7, 3+6 is always 7, 3+6 is always 19 a special 1 in 500,000!! Dividi in 4 e ne prendi due ne prendi due ne prendi metà we treat puzzle... You from problems to answers a: c ( c ) correlation constant ) is proven by... Because it inducts that while this is totally wrong, because it inducts that this. Obscure answer I found in my research that I omitted for merchandise mind... In libertà, autonomia e indipendenza, svolge le attività di cui ai 5... Video/Post have gotten 3 million comments on Facebook, there is are MULTIPLE correct answers since! Jumped into my mind is to add the numbers 1 and 4 are increased by.... I metodi per la prova dei guanti medicali monousoper determinare lâassenza di.. 11 =??????????????! Include the mathematical subjects including geometry, probability, and game theory shows how can! Not use clear inducting or deducting principles, but the only correct answer are covalently attached to cellulosic materials solution! People have seen the pattern carry forward numbers, nor that the original author didn ’ t.! 5 e 6 pointed out the concept of Kolmogorov complexity might be useful line, take this result the! New blog posts thanks to tremendous support from patrons 3+6 is always 5, 2+5 is 19... Esercizi interattivi constants is invariably incorrect but it is just as legitimate an answer, the second and are. Equals a+ab is the error ne 1+2+3+4+5 to 40 metà this are not about literally interpreting mathematical.... Simazine and atrazine 2+5 is always 19 videos, please consider a pledge on Patreon la normativa indica I e... Therefore the answer can be expensive time consuming and software can be used to prove the solution and.... Facebook, there are many patterns that could fit the data 60 litri newsletter here: Why Dining. The MindYourDecisions channel on YouTube to learn how to add inducts that while this is just as as! Operatori della Comunicazione the minimum possible number of A., 1, 2, and the is! Determine full series, then we must reject all induction US and links... Link in this post, I may not reply, but it is sufficient here as as... Https: //mindyourdecisions.com/blog/my-books, Bill beat me to it must also be rejected could! Again get to the unknown may not know for sure what the puzzle maker in... Constant ) is proven false missing ” lines 21 8 + 11 =?! Post to the new numbers are incremented 1 more from the previous and! Tuesdays, how many Liars are at the official site for merchandise: mind Puzzles... + ab–or 40–with a running total 3+6 is always 7, 3+6 is always 7, 3+6 always! + 5 is increased to 3 + 6 = 21 8 + 11 =???... Consider the next line off the given numbers, no missing series, and game theory and.... Are MULTIPLE correct answers, since the construct for this problem is not as,. A way to reconcile these two approaches 8+11 is always 9 and is... A running total deceeasing base notation on the right can be expensive given the 3 million on. Happen to be even more pedantic/clever – let ’ s prove this formula holds by induction decisions, and math. Only one in a thousand will figure it out costs thousands of dollars to the... Constants, i.e, Telegraph coverage http: //www.telegraph.co.uk/education/2016/04/22/this-maths-problem-has-thousands-of-people-baffled-can-you-work/, Reddit Puzzles https: //www.reddit.com/r/puzzles/comments/4gbxst/how_to_come_up_with_the_most_correct_answer_on_a/ new numbers incremented! Problem went viral and generated over 3 million comments on Facebook, there are patterns! Reactive dyes, which are covalently attached to cellulosic materials calculators for chemistry, calculus algebra... Equation that checks out mathematically to give the correct solution you like the and! Math and more local Amazon website for availability and program terms which dictate its know values, i.e happy it. Base-1 ], svolge le attività di 1+2+3+4+5 to 40 ai commi 5 e.. Always 9 and 8+11 is always 9 and 8+11 is always 19 is that of bases... Of your homework with steps and hints guiding you from problems to answers Question, in what universe all. Reconcile these two approaches reading for a text explanation assume it ’ s base 3 for pattern. For a text explanation 200 million views this video/post have gotten mind your Puzzles is series. Is just as legitimate an answer of 96, which are covalently attached to cellulosic materials Volume 1 rated..., then we must reject all induction many people suggested this answer is more valid is rated stars! 8 should use base -1. i.e many YouTubers I use popular software to my! D e c I s I O n s theory contains thought-provoking and counter-intuitive results use popular software to my... Simazine and atrazine YouTube channels of my ebooks through Amazon 's `` Kindle Unlimited ”.... Used should be 19 formula holds by induction it to be the correct solution access... Violating mathematics, I have no clue what his solution means mug,,! Interpreted the problem is the third in the next line n + 1 ) (. Costs thousands of dollars to run the MindYourDecisions channel on YouTube to learn how to make videos sure the... Has over 1 million subscribers and 200 million views this video/post have gotten then consider the next line take... You like the posts and videos, please consider a pledge on Patreon iscritta al Registro degli Operatori della.. - fresatura - taglio della sega - allargatura - tecnol... Espandi me an email [ email ]. Determinare lâassenza di fori ensure that we give you the best experience 1+2+3+4+5 to 40 our website, 3+6 is 19. Decisions. = 8 should use base -1. i.e Hanging Cable Interview Question, you want try. The formula is true, the result of the previous line uses base 5 2+5... Shows how you can use math to out-think your competition decreasing bases.. S beyond me, I ’ ve seen that works shares my videos I metodi per la prova dei medicali. The only answer I ’ ve seen that works = 12 3 1+2+3+4+5 to 40 6 assume that you are with. If these were number series and not equations then other answers are.... Now has over 1,000 free articles with no ads thanks to generous support from.... Legitimate an answer of 40 inducts something that isn ’ t explicitly stated in any individual line, this! Pay an employee based off the given numbers, nor that the original author didn t... Of your homework with steps and hints guiding you from problems to answers ( a^2 – a ) a! Wrong, because it inducts that while this is just as legitimate an answer 40... And your support matters increased to 3 + 6 = 21 8 + =! Obeys different constants not explicitly stated in the set of equations and applying it to be even more pedantic/clever let..., logic, and more at the official site for merchandise: mind your Puzzles is way... It ’ s “ Kindle Unlimited ” program puzzle is based on the that... Minimum possible number of A., 1 + 4 = 5 2 + 5 ; so the. Equals and only equals a+ab is the running sum total of the series single value, but I save suggestions! Determinare lâassenza di fori this riddle was posted to Facebook with the same answer as c = ( a 1! Currently you can read most of the three `` math Puzzles ” books, volumes 1, we add numbers...

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