Question

Present age of anil and sunil are in the ratio 2:3. Six years from now the ratio of their ages will be 5:7 find their present ages.​

Answer 1

Ratio of present age of Anil and Sunil = 2:3

After 6 years,

Ratio of Anil and Sunil will be = 5:7

Let suppose that common of ratio is x

Thus,

• Present age of Anil = 2x
• Present age of Sunil = 3x

After 6 years,

• Age of Anil will be = 2x + 6
• Age of Sunil will be = 3x + 6

According to the given question,

(2x + 6) : ( 3x + 6) = 5:7

$\rightarrow \: \frac{(2x + 6)}{(3x + 6)} = \frac{5}{7}$

On cross multiplication,

$\rightarrow14x + 42 = 15x + 30 \\ \\ \rightarrow - x = - 12 \\ \\ \rightarrow \: x = 12$

So from here, we found that value of x(common of ratio) is 12. So to find present age of Anil and Sunil, put value of x in supposed present age of Anil and Sunil.

Hence,

• Present age of Anil = 2x = 2*12 = 24 years.
• Present age of Sunil = 3x = 3*12 = 36 years.