Question

Three years ago the ratio of ages of Gargi and Supriya is 2 ∶ 1, also the present age of Gargi is 27 years more than Supriya. What is the sum of their present ages?
1. 89
2. 68
3. 87
4. 93
5. 105

Answer 1

Correct Answer - Option 3 : 87

Given∶

Three years ago the ratio of ages of Gargi and Supriya is 2 ∶ 1

The present age of Gargi is 27 years more than Supriya.

Calculations∶

Let the present ages of Gargi and Supriya be G and S respectively.

According to question, \(\frac{{{\rm{G}} - 3}}{{{\rm{S}} - 3}} = \frac{2}{1}\)

⇒ 2S - G = 3         ---(1)

Also, G = 27 + S

⇒ G -S = 27         ---(2)

On solving the equations (1) and (2), We get, G = 57 and S = 30

⇒ present age of Gargi = 57 years and the present age of Supriya = 15 years

⇒ Sum of their present ages will be; 57 + 30 = 87 years.