-A man is five times as old as his son, and the sum of the squares of their ages is equal to 2106, find their ages
A)son's age = 5 years, father's age = 25 years
B)son's age = 7 years, father's age = 35 years
C)son's age = 9 years, father's age = 45 years
D)son's age = 10 years, father's age = 50 years

Question

Quizplus · Accepted Answer

Let the son's age be x. Then the father's age is 5x. The equation is x^2 + (5x)^2 = 2106. Solving gives x = 9, so the son's age is 9 years and the father's age is 45 years.

-A Man Is Five Times as Old as His Son