1.

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. 892. 683. 874. 935. 105

Answer» 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.


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