Correct Answer - Option 1 : 42
Given
The average age of a man and his son is 60 years. The ratio of their age is 13 : 7 respectively.
Concept used
Average
Calculation
The average age of a man and his son is 60 years.
\(\frac{{{\rm{man\ +\ }}{\rm{ son }}}}{2} = 60\)
The ratio of their age be 13x and 7x
⇒ 13x + 7x = 60 × 2
⇒ 20x = 120
⇒ x = 6
Sons's age = 7x
Son's age = 7 × 6 = 42 years