Question

The ratio of the ages (in year) of three children is 2:4:5.The sum of their ages is 33.what is the age of each children

Answer 1

The ratio of the ages of three children is 2:4:5

Total ratio of their ages is

$2+4+5=11$

And the sum of their ages is 33

Using individual ratios to find the ages of the children

For the child with the ratio of 2, the age is

$\frac{2}{11}\times33=2\times3=6\text{ years}$

The child with the ratio of 2 is 6 years old

For the child with the ratio of 4, the age is

$\frac{4}{11}\times33=4\times3=12\text{ years}$

The child with the ratio of 4 is 12 years old

For the child with the ratio of 5, the age is

$\frac{5}{11}\times33=5\times3=15\text{ years}$

The child with the ratio of 5 is 15 years old

Hence, the age of each children is 6, 12 and 15 years