Question

The sum of ages of father and son is 84 years. When the father was as old as his son now , he was 5 times as old as his son. Find their present ages.

Answer 1

Step-by-step explanation:

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The sum of the ages of a father and a son is 84. When the father was as old as his son now, he was 5 times the age of his son. What is the Age of both son and father?

Stephanie Lim

Answered April 6, 2020

The father is 54 while the son is 30.

When doing this question, the key thing to remember is that the absolute difference in age (father’s age - son’s age) is constant. So from the second statement we:

let age of the younger son be x,

Son’s present age / younger father = 5x

difference in age = 4x

Therefore 84 = son’s present age + (son’s present age + age difference)

=5x + 9x

thus x = 84/14 = 6

son’s age = 5x =30 and father’s age = 9x =54

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