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The Sum of two number is 15 and sum of their square is 113. The numbers are?

Correct Answer: 7, 8

Explanation:

Let the number be x and (15-x)
Then, x2 + (15 - x)2= 113
⇒ x2 - 15x + 56 = 0
⇒ (x-7) (x-8) = 0
∴ x = 8 or x = 7
So, the numbers are 7 and 8


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