Question

The age of Mahesh and Suresh are in the ratio 3:4.Five years ago their ages were in the ratio 2:3 .Find their present ages

Answer 1

Answer:

The present age of Mahesh = 15 years

The present age of Suresh = 20 years

Step-by-step explanation:

Let,

The present age of Mahesh = 3x

The present age of Suresh = 4x

Five years ago,

The age of Mahesh = 3x - 5

The age of Suresh = 4x - 5

Their ages were in the ratio 2:3

So,

⇒ $\frac{3x - 5}{4x - 5} \: = \frac{2}{3}$

⇒ 3 (3x - 5) = 2 (4x - 5)

⇒ 9x - 15 = 8x - 10

⇒ 9x - 8x = - 10 + 15

⇒ 1 x = 5

⇒ x = 5

The present age of Mahesh = 3x

⇒ 3 (5)

⇒ 3 × 5

⇒ 15

The present age of Suresh = 4x

⇒ 4 (5)

⇒ 4 × 5

⇒ 20

Therefore,

The present age of Mahesh = 15 years

The present age of Suresh = 20 years