Question 15

Ages of a mother and daughter are in the ratio 12 : 5. Ten years hence, she will be twice as old as her daughter. What is the sum of their ages at present?

Solution

Let the age of mother and father be 12x and 5x respectively

According to the question,

$$\frac{(12x+10)}{(5x+10)}=\frac{2}{1}$$

12x + 10 = 10x + 20

2x = 10

x = 5

Therefor, required sum= 12x + 5x = 17x = 85 years

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: