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

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

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,
• Afe 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 $\leadsto{(26+4)=30}$

Answer 2

Answer:

The ratio of Rohan's and Rahul's present ages is 5:3.

Let Rohan's present age be 5x.

Then Rahul's present age = 3x

So (5x-4)/(3x+4) = 1/1 => 5x-4 = 3x+4

=> 5x-3x = 4+4 => 2x = 8 => x = 8/2=4

So Rohan's and Rahul's present ages are 5×4,3×4. ie. 20, 12.

So ratio between Rohan's age 4 years hence and Rahul's age 4 years before = (20+4)/(12–4) = 24/8 = 3/1 ie. 3:1