Multiple choice

At present Anushika is eight times of the Chhavi's age. After eight years from now, the ratio of the ages of Anushika and Chhavi will be 10: 3 respectively. What is Anushika's present age?

  1. 28 years

  2. 32 years

  3. 36 years

  4. 40 years

  5. 44 years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Chhavi's present age be x. Then Anushika's present age is 8x. After 8 years: Anushika's age = 8x + 8, Chhavi's age = x + 8. The ratio is (8x + 8)/(x + 8) = 10/3. Cross multiply: 3(8x + 8) = 10(x + 8), so 24x + 24 = 10x + 80, giving 14x = 56, so x = 4. Chhavi is 4 years old, Anushika is 8 × 4 = 32 years old.