Question

The ratio of a father's age to that of his son is 3: 1. If the sum of their ages is 60, find their
ages.
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Answer 1

Step-by-step explanation:

Answer : 24

Let age of the father be f

Let age of the son be s

Given f/s = 7/3

By componendo and dividendo technique

(f+s)/(f-s) = (7+3)/(7–3)

Given sum of ages = 60 = f+s60/(f-s) = 10/4

Therefore (f-s) = 60*(4/10) = 24

Answer 2

$\sf \Large Solution!!$

Let the ratio be 3x and x

Sum of their ages is 60. So,

3x + x = 60

4x = 60

x = 15

Father's age = 3x = 3 × 15 = 45 years

Son's age = x = 15 years