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 :—

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

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

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

Answer 2

Answer:

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 :—

\begin{gathered} < /p > < p > < /p > < p > \sf{\implies \dfrac{x+10}{x+14}=\dfrac{9}{10}} \\ < /p > < p > < /p > < p > \sf{\implies 10x+100=9x+126} \\ < /p > < p > < /p > < p > \sf{\implies 10x-9x=126-100} \\ < /p > < p > < /p > < p > \sf{\implies x=26} \\ \end{gathered}

</p><p></p><p>⟹

x+14

x+10

=

10

9

</p><p></p><p>⟹10x+100=9x+126

</p><p></p><p>⟹10x−9x=126−100

</p><p></p><p>⟹x=26

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

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