Question

The ratio of the ages of two student in 3:2 one is elder than the other by 5 years what is the of the younger student

Answer 1

let age of younger student=2x
elder one's age=3x
3x-2x=5
x=5 yrs
age of younger student=10 yrs

Answer 2

Given :

The ratio of the ages of two student = 3 : 2

One student is elder than other student by 5

To Find :

The age of younger students

Solution :

Let The age of elder student = E years

Let The age  of younger student = Y years

According to question

As The ratio of ages = 3 : 2

So, Age of elder student = E = 3 x

Age of younger student = Y = 2 x

And

 Age of elder student = 5 + age of younger student

i.e  E = 5 + Y

Or,  3 x = 5 + 2 x

Or,  3 x - 2 x = 5

∴       x = 5

So, The age of elder student = E = 3 x = 3 × 5 = 15 years

And, The age of younger student = Y = 2 x = 2 × 5 = 10 years

Hence,

The age of elder student is 15 years

And, The age of younger student is  10 years   Answer