Question

Two years ago the ages of Radha and Meena were in the ratio 5 : 2. If the sum of their present ages is 39 years, their ages, 2 years ago, were ______.

Options

• 27 years and 12 years

• 17 years and 22 years

• 25 years and 10 years

• 11 years and 28 years

Answer 1

Two years ago the ages of Radha and Meena were in the ratio 5 : 2. If the sum of their present ages is 39 years, their ages, 2 years ago, were 25 years and 10 years.

Explanation:

Two years ago, age of Radha = 5x years

Meena's age = 2x years

∴ Radha's present age = (5x + 2) years

Meena's present age = (2x + 2) years

According to question,

5x + 2 + 2x + 2 = 39

`\implies` 7x + 4 = 39

`\implies` 7x = 39 – 4 = 35

`\implies` x = 5

∴ Radha's age two years ago

= 5 × 5

= 25 years

Meena's age two years ago

= 2 × 5

= 10 years