Question

The total age of 5 children aged 3 years is 50 years. Find the age of the youngest and oldest child?​

Answer 1

Given:

Consider the total age of 5 children with age difference 3 years is 50 years.

To find:

The age of the youngest and oldest child.

Solution:

Let the ages of the 5 children are x-6, x-3, x, x+3, x+6.

Sum of their ages is 50 years.

$(x-6)+(x-3)+x+(x+3)+(x+6)=50$

$5x=50$

$x=\dfrac{50}{5}$

$x=10$

The age of the youngest child is

$10-6=4$

The age of the oldest child is

$10+6=16$

Therefore, the age of youngest child is 4 years and the age of the oldest child is 16 years.