Question

The ratio of the present ages of Sita and Geeta is 2:5. Six years hence the ratio of their ages will be 1:2. Find their present ages.​

Answer 1

Answer:

The present ages of Sita and Gita are 12 and 30 years respectively.

Step-by-step explanation:

Let the ratio constant be x

∴ The age of Sita and Gita will be 2x and 5x respectively.

Six years later,

Sita's age = 2x + 6

Gita's age = 5x + 6

It is given that the ratio of their ages after 6 years will be 1:2.

=> $\frac{2x+6}{5x+6} = \frac{1}{2}$

=> 2(2x+6) = 5x+6

=> 4x + 12 = 5x + 6

=> 5x - 4x = 6

=> x = 6

∴ Present age of Sita = 2x = 2 x 6 = 12,

And, present age of Gita = 5x = 5 x 6 = 30