Question

Arundhati is five times as old as her daughter. After 6years she will be three times her daughter’s age. Find their current ages.

Answer 1

Answer:

The current age of Arundhati is 30 years and her daughter's age is 6 years.

Step-by-step explanation:

Here we have been mentioned here that Arundhati is five times as old as the age of her daughter. It is also given that after 6 years she will be 3 times the age of her daughter. Here we assume the age of her daughter to be m years. Hence we have the present age of Arundhati is 5m.

According to the given conditions:

5m + 6 = 3(m+6)

⇒ 5m + 6 = 3m + 18

⇒ 5m - 3m = 18 - 6

⇒ 2m = 12

⇒ m = 12 ÷ 2

⇒ m = 6

Therefore 5m = 5 × 6 = 30 years.

Hence the age of her daughter is 6 years and the age of Arundhati is 30 years.