Question

present ages of Yash and Virat are in the ratio of 3:2 after 6 years the ratio of their ages is 11:8 find their present ages.

Answer 1

2Let the present age of yash and virat be 3x and 2x respectively
A/Q
3x+6/2x+6=11/8
24x+48=22x+66
X=11
Present age of yash and virat are 22 and 33 years

Answer 2

Answer:

Present age of Yash is 27 years and present age of Virat is 18 years.

Step-by-step explanation:

Given, present age of Yash and Virat are in the ratio of 3:2.

Let present age of Yash be 3x years and present age of Virat be 2x years.

Again given,after 6 years the ratio of their ages is 11:8.

So,after 6 years age of Yash will be (3x+6) years and after 6 years age of Yash will be (2x+6) years

Now ratio of their age after 6 years = (3x+6):(2x+6)

According to question,

(3x+6):(2x+6) = 11:8

So,

$\frac{3x + 6}{2x + 6} = \frac{11}{8}$

By cross multiplication,

$8 \times (3x + 6) = 11 \times (2x + 6)$

We are removing brackets,

$24x + 48 = 22x + 66$

We are separating variable and constant part,

$24x - 22x = 66 - 48 \\ 2x = 18 \\ x = \frac{18}{2} \\ x = 9$

Therefore,

present age of Yash is (3×9) = 27 years and present age of Virat is (2×9) = 18 years

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