Question

Arun age is 4 years more than Prashanth age 4 years ago the ratio of their ages was 5:4
their present ages

Answer 1

Answer:

Let ,

The present age of Prashant be :

x years.

then the present age of Arun will be :

(x+4) years.

Thus,

Prashant's 4 years ago=(x-4) years

Arun's 4 years ago=(x+4-4)=x years

Now, according to the question,

4 years ago ,the ratio of Arun's and Prashant's ages was 5:4.

=> x:(x-4) = 5:4

=> x/(x-4) = 5/4

=> 4x = 5(x-4)

=> 4x = 5x - 20

=> 5x - 4x = 20

=> x = 20.

Thus,

The present age of Prashant is x years

ie, 20 years.

The present age of Arun is (x+4) years

ie, (20+4) years, ie, 24 years.

Answer 2

Answer:

Step-by-step explanation:

Given :-

Arun age is 4 years more than Prashanth age.

4 years ago the ratio of their ages was 5:4.

To Find :-

Their Present Ages.

Solution :-

Let the age of Prashant be x.

And the age of Arun be x + 4.

Before 4 years

Prashant's age was = x - 4 yrs.

Arun's age was = x + 4 - 4 = x yrs.

Ratio of their ages = 5 : 4

⇒5/4 = x/x - 4

⇒ 5x - 20 = 4x

⇒ 5x - 4x = 20

⇒ x = 20

Arun's present age = x + 2 = 20 + 4 = 24 years

Prashant's present age = x = 20 years.

Hence, their present ages are 20 and 24 years.