Question

Raju is 19 years younger than his cousin after 5 years there is will be in the ratio 2 is to 3 find their present age​

Answer 1

ANSWER

Let cousin's age be x

So, Raju's age will bex−19

After 5 years ratio of their ages will be=  

3

2

​  

 

So,

x+5

x−19+5

​  

=  

3

2

​  

 

x+5

x−14

​  

=  

3

2

​  

 

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.

Answer 2

Answer:

Let the age of Raju = x

Age of Raju's cousin = 19 + x

Ages after 5 years

Raju: x + 5

His cousin: 19 + x + 5 = 24 + x

Ratio of their ages = 2:3

Thus, we have

x + 5 / 24 + x = 2/3

Cross multiplying, we get

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

3x + 15 = 48 + 2x

3x - 2x = 48 - 15

x = 33

Thus, age of Raju is 33 years and age of his cousin is 19 + 33 = 52 years.

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