Question

The ratio of father's age and son's age is 8:3. If the sum of their ages is 55 years, how old is the son ? 15

Answer 1

the answer is 40 and 15

Answer 2

Concept-

In this question, we will discuss the ratio based age problem. In such type of questions , the ages of two or more people will either be such that they bear a ratio or they will have some relation by which we can get a ratio. Here, we will see how to solve these types of problems.

Given-

It is given that , ratio of father and son's age is 8:3 and the sum of their ages is 55 years.

Find-

We have to find the age of son.

Solution-

Let the age of father be 8x

Let the age of son be 3x

The sum of their ratios is 11 which should be equal to the sum of their ages. Therefore, we form the equation as-

8x + 3x = 55

11x = 55

x = 5

So, Father's age  = 8x = 8 × 5 = 40 years

Son's age = 3x = 3 × 5 = 15 years

Therefore, the age of son is 15 years.

#SPJ3