Question

raju is 19 years younger than his cousin . after five years, their ages will be in the ratio 2:3 . find their present ages.​

Answer 1

Answer:

raju present age =X

raju's cousin age =X+19

after 5 years their ratio is 2:3

Answer 2

☆ Solution ☆

Given :-

• Raju is 19 years younger than his cousin.

• After five years, their ages will be in the ratio 2:3 .

To Find :-

• Their present age.

Step-by-Step-Explaination

Let, the present age of Raju be x

And, the present age of Raju's cousin be y

After 5 years,

Raju's age is x + 5

And, his cousin is 19 + x + 5 = 24 + x

Ratio of their age = 2:3

According to the question,

$\frac{ x + 5}{24 + x} = \frac{2}{3}$

3(x + 5) = 2(24 + x)

⇒ 3x + 15 = 48 + 2x

⇒ 3x - 2x = 48 - 15

⇒ x = 33

Hence,

Present age of Raju's is = x = 33 years

And, his cousin = 19 + x = 19 + 33 = 52 years