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

Step-by-step explanation:

Let Virat's age be x and sachin's age be y .

Now,

x/y =5/9

so x= 5y/9 -------(1)

3 years from now,

x+3 / y+3 = 3/5

5(x+3) = 3(y+3)

5x+15 = 3y +9

5x - 3y = 9 -15

5x - 3y = -6 ______(2)

5(5y/9) -3y = -6 [ putting (1) in (2)]

( 25y - 27y)/9 = -6 (taking Lcm)

-2y = -54

y= 54/2= 27

so sachin's age is 27 years .

Now,

virat's age = 5(27)/9

=> 5 × 3 = 15 [27÷9=3]

therefore, Virat's age is 15 years.

Answer 2

Answer:

Present age of Virat is 15 years.

Step-by-step explanation:

Given :

• Ratio of present ages of Virat and Sachin is 5 : 9.
• Three years hence ratio of their ages will be 3 : 5.

To find :

Virat's present age.

Solution :

Let the ages of Virat and Sachin be 5x and 9x.

Then, hence 3 years means after 3 years.

Their ages,

• 5x + 3
• 9x + 3

Ratio after 3 years = 3 : 5

So,

• $\frac{5x\;+\;3}{9x\;+\;3}\;=\;3\;:\;5$

• $\frac{5x\;+\;3}{9x\;+\;3}\;=\;\frac{3}{5}$

Cross multiply,

• $5(5x + 3) = 3(9x + 3)$

• $25x + 15 = 27x + 9$

• $2x = 6$

• $x = 3$

⇒ ∴ Present age of Virat (5x) = 15 years.