Question

Ria is 4 years elder to Rahul. After 10 years, the ratio of the ages of Rahul to Ria is 9:10. Find Rahul’s present age ? ​

Answer 1

Given :–

Ria is 4 years elder to Rahul.

After 10 years, the ratio of the ages of Rahul to Ria is 9:10

To find :–

Find Rahul's present age.

Solution :–

Let, the age of Ria be x years and the age of Rahul be (x+4) years

After 10 years,

Afe of Ria = (x + 10) years

Age of Rahul = (x + 14) years

ATQ :—

$\sf{\implies \dfrac{x+10}{x+14} = \dfrac{9}{10}} \\ \\ \sf{\implies 10x+100=9x+126} \\ \\ \sf{\implies 10x-9x=126-100} \\ \\ \sf{\implies x=26}$

.°. The present age of Ria is 26 years and

the present age of Rahul is = (26+4)=30 years.

Answer 2

Answer:

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Let Rahul's age be X.

4 years elder so, Ria's age be 4 + X.

Ratio = 9:10 = 9/10

According to the questions,

X + 10/4 + X + 10 = 9/10

=> X + 10/14 + X = 9/10

=> 10x + 100 = 126 × 9x

=> X = 26

Hence, Rahul present age is 26.