Question

The sum of ages of father and son are same as complementary angles. If son's age is equal to angle x and father's age is equal to angle 3x, what is the son's and father's age respectively?

• A. 27.5 years and 62.5 years.
• B. 20 years and 60 years.
• C. 25 years and 75 years.
• D. 22.5 years and 67.5 years.

Answer 1

The correct option is D 22.5 years and 67.5 years.

We know, Sum of complementary angles = ${90}^{\circ }$
x + 3x = ${90}^{\circ }$
4x = ${90}^{\circ }$
x = ${22.5}^{\circ }$
$\therefore$ Son's age = x = 22.5 years
and Father's age = 3x = 67.5 years.