Question

12. The sum of the ages of Ajay and Bala, 20 years ago
was five-ninth the sum of their present ages. Ajay's
present age exceeds that of Bala by 20 years. Find
the present age of Ajay. (in years)​

Answer 1

Answer:-

Let the present age of Bala be x years.

Given:

Ajay's present age exceeds that of Bala by 20 years.

→ Ajay's present age = (x + 20) years

And,

Sum of their ages before 20 years = 5/9 * Sum of their ages at present.

• Ajay's age before 20 years = (x + 20 - 20) = x years

• Bala's age before 20 years = (x - 20) years

According to the above condition,

→ x + x - 20 = 5/9 * (x + 20 + x)

→ 2x - 20 = 5/9 * (2x + 20)

→ 2x - 20 = (10x + 100) / 9

→ 9 (2x - 20) = 10x + 100

→ 18x - 180 = 10x + 100

→ 18x - 10x = 100 + 180

→ 8x = 280

→ x = 35

Therefore,

• Bala's present age = x = 35 years.

• Ajay's present age = x + 20 = 35 + 20 = 55 years

Therefore, Ajay's present age is 55 years.

Answer 2

Answer:

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Step-by-step explanation:

Plz refer to attached page......

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