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

Answer:

Step-by-step explanation:

Let their present ages be

Rahul = x

Ria = x+4

Hence after 10 years

Rahuls age = x+10

Ria age = x+4 + 10 = x+14

Now ratio of

Rahul to ria =

x+10 / x+14 = 9/10

Cross multiply

10(x+10) = 9(x+14)

10x + 100 = 9x + 126

Bringing x terms on one side

10x-9x = 126-100

x = 26

Therefore

Rahuls age = 26

Rias age = 26+4 = 30

Answer 2

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.