Question

The ratio of present ages of Virat and Sachin is 5 : 9. Three years hence ratio of their ages will be 3 : 5. Find Virat's present age?​​

Answer 1

Answer:

let us say the present age of sachin is A.

After 15 years his age will be A+15.

5years back his age was A-5.

Now as per condition given in the question,

A+15= 5 (A-5)

A+15 = 5A - 25

15+25=5A-A

40=4A

Hence A=10.

Answer 2

Answer:

❥Question:-

• The ratio of present ages of Virat and Sachin is 5 : 9. Three years hence ratio of their ages will be 3 : 5. Find Virat's present age?

❥To Find:-

• What is the present age of Virat?

❥Solution:-

Let the present age of Virat be 5x .

And the present age of Sachin will be 9x.

↝Three years ago

Age of Virat = 5x + 3

And the age of Sachin will be 9x + 3

So, According to the question,

$⇒ \frac{5x + 3}{9x + 3} = \frac{3}{5}$

By doing cross multiplication we get ,

$⇒3(9x + 3) = 5(5x + 3) \\ ⇒27x + 9 = 25x + 15 \\ ⇒27x - 25x = 15 - 9 \\ ⇒2x = 6 \\ ⇒x = \frac{ \cancel 6}{ \cancel 2} \\ \longrightarrow x = 3$

Hence the ages Present age of Virat is 5x=5(3)=15 years.

The present age of Sachin is = 9x 9(3)=27 years.

✧The present age of Virat is 15 years.

Hope it helps!!