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

${\huge{\bold{\underbrace{\overbrace{Question:-}}}}}$

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 ?

${\huge{\bold{\underline{\overline{AnsWeR:}}}}}$

${\sf{\green{\underline{\underline{Given:-}}}}}$

Ria is 4 years old

After 10 year go then the age of Ria is= 9:10

$\sf\color{red}{Find:-}$

• Rahul’s present age .

${\sf{\underline{\overline{Solution:-}}}}$

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

• After 10 years,
• Age of Ria = (x + 10) years
• Age of Rahul = (x + 14) years

$\sf\color{blue}{Culculation:}$

$\sf\leadsto\dfrac{x+10}{x+14}$

$\sf{\leadsto 10x 100=9x+126}$

$\sf{\leadsto 10x-9x=126-100}$

$\sf{\green{\leadsto x=26}}$

${\sf{\green{\underline{\underline{Given:-}}}}}$

:- Now the age of Ria is $\leadsto{26}$

:- Now the age of Rahul is $\leadsto{(26+4)=30}$