1.

The sum of the ages of two friends is 20 years. Five years ago the product of their ages was 24. Find their present age.1). 10, 82). 5, 103). 7, 84). 11, 9

Answer»

Let the present age of two friends be A and B

A + B = 20 and (A – 5) (B – 5) = 24

AB – 5(A + B) + 25 = 24

AB – 75 = 24

AB = 99

(A – B) 2 = (A + B) 2 – 4AB

A – B = 2

So, A = 11 and B = 9


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