Question 11

The average age of three friends is 20 years and their ages are in the proportion 2:3:5, the age of the oldest friend is :

Solution

Given average age of three friends is 20 years

Sum of their ages = $$3\times\ 20$$ = 60 years

Given, their ages are in ratio 2:3:5. Let their ages be 2x, 3x and 5x

2x + 3x + 5x = 60

10x = 60

x = 6

Their ages are 12 years, 18 years and 30 years

Age of oldest friend = 30 years

Answer is option C.

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