Question

The age of ajmal and amala are in the ratio 10:14 8 years from now the ratio of their ages will be 6:8. Find their present age​

Answer 1

Answer:-

Given:

Ratio of present ages of Ajmal and Amala = 10 : 14

Let their ages be 10x , 14x.

After 8 years, the ratio of their ages becomes 6 : 8.

According to the above condition,

$\sf \dfrac{10x + 8}{14x + 8} = \dfrac{6}{8} \\ \\ \implies \sf \: 8(10x + 8) = 6(14x + 8)$

→ 80x + 64 = 84x + 48

→ 64 - 48 = 84x - 80x

→ 16 = 4x

→ 16/4 = x

→ x = 4

Therefore,

• Present age of Ajmal = 10x = 10 * 4 = 40 years.

• Present age of Amala = 14x = 14 * 4 = 56 years.

Answer 2

Answer:

Present age of Ajmal is 40 years and Amala is 56 years.

Explanation:

Assume that the present age of Ajmal be 10x and Amala be 14x.

8 years from now the ratio of their ages will be 6:8.

8 years later:

• Age of Ajmal = (10x + 8) years
• Age of Amala = (14x + 8) years

As per given condition,

→ (10x + 8)/(14x + 8) = 6/8

→ 8(10x + 8) = 6(14x + 8)

→ 80x + 64 = 84x + 48

→ 84x - 80x = 64 - 48

→ 4x = 16

→ x = 4

Hence, the present age of:

• Ajmal = 10x = 10(4) = 40 years
• Amala = 14x = 14(4) = 56 years