# The average age of a man and his son is 60 years. The ratio of their age is 13 : 7 respectively. What is the son's age ?

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The average age of a man and his son is 60 years. The ratio of their age is 13 : 7 respectively. What is the son's age ?
1. 42
2. 46
3. 41
4. 44

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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