Crack the Code: Can You Solve This Mind-Bending Math Puzzle?

Math Puzzles: 7

Crack the Code: Can You Solve This Mind-Bending Math Puzzle?

Crack the Code: Can You Solve This Mind-Bending Math Puzzle?

It appears that simple addition does not fit the pattern, so we must look for a more complex relationship.

Let’s check if the results could be obtained by combining multiplication and addition in some manner:

1 + 2 = 3

   (1 x 2) + 1 = 2 + 1 = 3

2 + 3 = 10

   (2 x 3) + 4 = 6 + 4 = 10

5 + 2 = 35

   (5 x 2) + 25 = 10 + 25 = 35

6 + 7 = 78

   (6 x 7) + 36 = 42 + 36 = 78

8 + 9 = 136

   (8 x 9) + 64 = 72 + 64 = 136

We can see that the additional term is a square number:

For 1 + 2, the addition term is 1^2

      2 + 3, the addition term is 2^2

      5 + 2, the addition term is 5^2

     6 + 7, the addition term is 6^2

    8 + 9, the addition term is 8^2

 

Thus, the pattern is:

a + b = (a x b) + a^2

Using this pattern, we can find the result for 9 + 10

9 + 10 = (9 x 10) + 9^2

Calculate the result:

9 x 10 = 90

9^2 = 81

90 + 81 = 171

Therefore, 9 + 10 = 171

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