1.

b) Sum of the present ages of two friends are 23 years, five years ago productof their ages was 42. Find their ages 5 years hence.

Answer»

Let present of first friend be xThen, present age of second friend = 23 - x

Five years ago:First friend age = x - 5Second friend age= 23 - x - 5= 18 - x

As per given condition (x - 5)(18 - x) = 4218x - x^2 - 90 + 5x = 42x^2 - 23x + 132 = 0x^2 - 12x - 11x + 132 = 0x(x - 12) - 11(x - 12) = 0(x - 11)(x - 12) = 0x = 11, 12

After 5 years there ages are16 years and 17 years



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