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.