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Anda sedang menonton: Teka teki 12 ? 9 ? ? ? 3 ? 6

Posted August 24, 2016 By Presh Talwalkar. Read about me, or email me.

This riddle was posted to Facebook with the claim that only one in a thousand will ilustrasi it out.

1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ?

what do you think the answer is?

The problem went viral and generated over 3 million comments with rakyat arguing about the correct answer. Maafkan saya do you think the correct answer is?

I explain apa many believe to be the correct answer in the followingai video.

The Viral 1 + 4 = 5 Puzzle. The Correct Answer Explained

Keep readinew york for a text explanation. . ."All will be well if you use your mind for your decisions, and mind only your decisions." darimana 2007, I have berdua my life to sharingi the joy of game theory and mathematics. magyaroldalak.net now has over 1,000 free articlpita pengukur with no ads thanks to community support! tolong out and get early access to posts with a pledge on Patreon.

. . . . . . M I N D . Y O U R . D E C I S I O N S . . . . Answer To 1 + 4 = 5 Puzzle

A mathematician might ambil a literal approach.

1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ?

The first equation is true, the second and third are false, and the answer to the equation should be 19.

But riddlpita pengukur linanti this are not about literally interpreting mathematical symbols. They are about identifyingai a pattern in the set of equatiopejarakan and applying it to the unknown.

The answer that jumped into my mind is to add the first mageri to the product of the two numbers to get the answer. That is:

a + b meamenjadi a + ab

This works for the known equations.

1 + 4 meapejarakan 1 + 1(4) = 5 2 + 5 meapejarakan 2 + 2(5) = 12 3 + 6 meapagi 3 + 3(6) = 21

Applying the pattern to the terakhir equation givpita the answer of 96.

8 + 11 meamenjadi 8 + 8(11) = 96

The answer of 96 is valid accordingai to this interpretation. Furthermore, many other IQ tests have this sort of pattern where you untuk mengambil two numbers and find a hidden equation that involvtape simple operatiopagi linanti addition, subtraction, multiplication, division, and exponentiation.

But some rakyat interpreted the problem differently and arrived at a different answer.

lainnya interpretation: running total

Some people felt the pattern was a running total: add the result in the previous line to the new numbers to get the new answer.

The first line is valid mathematically.

1 + 4 = 5

For the lanjut line, bawa pulang this result of 5 and add it to the new numbers to get the new answer.

5 + 2 + 5 = 12

Do the same thingai for the next line: add the previous line’s result of 12 to the new numbers to get the next result.

12 + 3 + 6 = 21

To solve the puzzle, do the same for the final line.

21 + 8 + 11 = 40

This pattern results in an answer of 40, and many people suggested this answer is more valid.

So maafkan saya is the answer? Is it 40 or 96? kapan we cannot know for sure what the puzzle maker had in mind, tdi sini is a way to reconcile these two approaches. It turmenjadi out the running total can juga lead to the answer of 96, if you decide to fill in the pattern a bit more.

Runninew york kasar missingi lines

Suppose the answer in each line is the running sum kasar of the previous result and the new numbers.

1 + 4 = 5 5 + 2 + 5 = 12 12 + 3 + 6 = 21

Notice that in each line the new numbers are incremented 1 more from the previous line. For example, 1 + 4 is turned into 2 + 5; so both the numbers 1 and 4 are increased by 1. Then 2 + 5 is increased to 3 + 6.

We can continue this pattern, so the next lintape would be 4 + 7, kemudian 5 + 8, then 6 + 9, kemudian 7 + 10, and kemudian 8 + 11.

maafkan saya is the running total when we include these “missing” lines?

1 + 4 = 5 5 + 2 + 5 = 12 12 + 3 + 6 = 21 21 + 4 + 7 = 32 32 + 5 + 8 = 45 45 + 6 + 9 = 60 60 + 7 + 10 = 77 77 + 8 + 11 = 96

We once again get to the answer of 96, which is somewhat surprising!

In fact, the running kasar with the missing lines generattape the same answer, line by line, as the algebraic result from the first approach:

a + b meapagi a + ab = a(1 + b)

How can we see the two approachpita pengukur are the same? on line 8, tdi sini are 7 previous lines. We can make 11 by pairingai the first sourse of each line with the second numberi of lainnya line: we can pair 1 with 10, 2 with 9, 3 with 8, 4 with 7, 5 with 6, 6 with 5, and 7 with 4. These are 7 pairs of 11. The final line has lagi 11. This meamenjadi we need to untuk mengambil 8 and add 11 to it 8 more times, which is 8 + 8(11) = 96.

In general, line n has the equation n + (n + 3), which is equal to the result n + n(n + 3) = n(n + 4).

Let’s prove this formula holds by induction. Assuming the formula is true up to line n, we kemudian consider the lanjut line. In the lanjut line n + 1, we add the numbers (n + 1) + (n + 4). The result in line n is n(n + 4), so when we add (n + 1) + (n + 4) we get:

n(n + 4) + (n + 1) + (n + 4) = n2 + 6n + 5 = (n + 1)(n + 5) = (n + 1)<(n + 1)) + 4>

And this completes the induction.

most orang believe the answer is either 96–with the equation a + ab–or 40–with a runningai total. Sejak the runningi berbisa can tambahan get to the answer of 96 when extending the pattern to missinew york lines, many believe that 96 is the answer that makpita the paling sense.

A Third Interpretation: The Answer is 201.

There was an another obscure answer I found in my retemukan that I omitted. But I am updatinew york this post on januari 3, 2018 dari several rakyat have emailed me and would linanti this answer to be represented too.

Lihat lainnya: Tuliskan Tiga Contoh Dampak Positif Yang Terjadi Akibat Modernisasi

About 10 setiap orang saw this pattern out of 5+ juta views this video/post have gotten. So if you found this pattern, kemudian you’re part of a khususnya 1 in 500,000 group!

The idea is to evaluate the sums in base 10, and kemudian convert the answer into descendingi number baspita pengukur 6, 5, 4, etc. Line by line. So the pattern is:

1 + 4 = 5 (base 10) = 5 (base 6)

2 + 5 = 7 (base 10) = 5×1 + 2 = 12 (base 5)

3 + 6 = 9 (base 10) = 4×2 + 1 = 21 (base 4)

So if we do the same for the terakhir line, we would need to use base 3 to get:

8 + 11 = 19 (base 10) = 9×2 + 3×0 + 1 = 201 (base 3)

So if you got 201, that’s lagi way setiap orang have seen the pattern. It’s a bit more involved to explain what is goingi on, and you can’t really reconcile the result with the “missing line” interpretation. But several setiap orang did see this pattern.