Question

The ratio of the ages of three children is 2:4:5. The sum of their ages is 33. What is the age of each child?

Answer 1

Explanation:

let the given ages be 2x , 4x and 5x.

Here,

2x + 4x +5x =33

or,x = 33/ 11

or,x =3

Hence,

2x =2 (3)=6years

4x=4(3)=12years

5x=5(3)=15years

Answer 2

We can represent this situation by the equation 2x+4x+5x=33.

Then 11x=33, and x = 3.

Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or

6:12:15.

Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!

The children's ages are 6, 12 and 15 years respectively.