Question

18. Raju is 19 years younger than his cousin. After 5 years, their ages will be in the ratio 2:3.
Find their present ages.
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Answer 1

Answer:

Given:

Raju is 19 years younger than his cousin.

After 5 years, their ages will be in the ratio 2 : 3.

To do: Here we have to find the present ages of Raju and his cousin.

Solution:

Let the present age of Raju = x

So,

Present age of Raju's cousin = x + 19

Ages after 5 years:

Age of Raju = x + 5

Age of Raju's cousin = x + 19 + 5 = x + 24

The ratio of their ages = 2 : 3

Thus, we have

x+5/x+24=2/3

After cross multiplication, we get:

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

3x + 15 = 48 + 2x

3x − 2x = 48 − 15

x = 33

So,

Present age of Raju = x = 33 years

Present age of Raju's cousin = x + 19 = 33 + 19 = 52 years

Therefore, the age of Raju is 33 years and the age of his cousin is 52 years.

Answer 2

Step-by-step explanation:

Let cousin's age be x

So, Raju's age will bex−19

After 5 years ratio of their ages will be=32

So,

x+5x−19+5=32

x+5x−14=32

3x−42=2x+10

3x−2x=42+10

x=52

x−19=52−19=33

Therefor present age of Raju is 33 years and present age of his cousin is 52years.