Question

The ages of Virat and Dhoni are in the ratio 5:7. If Virat was 9 years older and Dhoni 9 years younger, the age of Virat would have been twice the age of Dhoni. Find their ages​

Answer 1

Step-by-step explanation:

$5x + 9 = 2(7x - 9) \\ 5x + 9 = 14x - 18 \\ - 9x = - 27 \\ x = 3 \\ virat = 15yr \\ dhoni = 35ys$

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Answer 2

Given,

Ratio of ages of Virat and Dhoni = 5:7

If Virat was 9 years older and Dhoni was 9 years younger, then Virat would have been twice the age of Dhoni.

To find,

The ages of Virat and Dhoni.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, the ages of Virat and Dhoni = 5x years and 7x years (obtained from 5:7 ratio)

If Virat was 9 years older, then his age = (5x+9) years

If Dhoni was 9 years younger, then his = (7x-9) years

According to the data mentioned in the question,

(5x+9) = 2 × (7x-9)

(5x+9) = (14x-18)

(14x-18) = (5x+9)

14x-5x = 18+9

9x = 27

x = 3

So, Age of Virat = 5x = (5 × 3) = 15 years

Age of Dhoni = 7x = (7 × 3) = 21 years

Hence, age of Virat is 15 years and age of Dhoni is 21 years.