Question 75

The average age of fifteen persons is 32 years. If two more persons are added, then the average is increased by 3 years. The new persons have age difference of 7 years. The age (in years) of the younger among the new persons is:

Solution

let the sum of ages of 15 persons be x

given,the average age of 15 persons is 32

$$\frac{x}{15}=32$$

x= 480.

given that when two persons with age difference of 7 is added the average is increased by 3

let the ages of two persons be y and y+7

so, $$\frac{\left(480+y+y+7\right)}{17}=32+3$$

487+2y=595

2y=108

y=54

The younger among the new persons is 7 and his age is 54.

hence option c is correct.

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