Question

Mr. Vijay is 42 years old and his son is 14 years old. Determine the ratio of father's age to that of son's age when the son was 12 years old.

• A. 28 : 12
• B. 10 : 3
• C. 12 : 40
• D. 3 : 10

Answer 1

The correct option is B

10 : 3

Given: Father's age = 42 years
Son's age = 14 years

Two years ago, son was 12 years and father would be 42 - 2 = 40 years old.

Ratio of father's age to son's age two years ago
$=\frac{40}{12}=\frac{4\times 10}{4\times 3}$
[Cancel 4 in numerator and denominator]
$=\frac{10}{3}$

$\therefore$ The required ratio is 10 : 3.