Question

The sum of a man's age and his grandmother's age is 102. Eighteen years ago his grandmother was 10 times as old as he was then. Find their present ages.

Answer 1

Let man's age be: x
And grandmother's age be: y

x + y = 102

y = 102 - x


(y - 18) = 10(x - 18)

102 - x -18 = 10x - 180

11x = 264

x = 24

So y = 102 - 24

y = 78..