Question

The ratio of the Mother's age named Sangeeta to her daughter's age named Vineeta is 9 : 5. The product of their ages is 1125. The ratio of Sangeeta to Vineeta after five years will be:
1. 1 : 3
2. 2 : 3
3. 3 : 4
4. 5 : 3
5. None of these 

Answer 1

Correct Answer - Option 4 : 5 : 3

Given, 

Ratio of the Mother's age named Sangeeta to her daughter's age named Vineeta is 9 : 5. The product of their ages is 1125.

Calculations:

Let the present ages of Mother (Sangeeta) and daughter (Vineeta) be 9x and 5x respectively.

⇒ 9x × 5x = 1125

⇒ 45x² = 1125 

⇒ x² = 25

⇒ x = 5.
Required ratio = (9x + 5) : (5x + 5) 

⇒ 50:30 

⇒ 5:3

∴ The required answer is 5 : 3