Discussion of Question with ID = 051 under Problems-on-Ages

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The sum of ages of two friends is 23, whereas the product of their ages is 126. What is the sum of squares of their ages?


277 years.


278 years.


276 years.


279 years.

Ans: a

Let the ages be x and y. We are given x + y = 23, and xy = 126. Substituting in the identity $x^2 + y^2 = (x + y)^2 - 2 × xy$, we get $x^2 + y^2 = 23^2 - 2 × 126$ = 277.

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