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:
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.
Create a FREE account and get:
