The ages of Surabhi and Neerja are in the ratio of 6 : 7 respectively. After 6 y

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Question
The ages of Surabhi and Neerja are in the ratio of 6 : 7 respectively. After 6 years the ratio of their ages will be 15 : 17. Find the age of Neerja.
Options
A. 24 years
B. 26 years
C. 28 years
D. 32 years

Correct Answer

28 years

Explanation

Let the present ages of Surabhi and Neerja are 6x and 7x years respectively.
According to question,
(6x + 6)/(7x + 6) = 15/17
? (6x + 6)x17 = 15x(7x + 6)
? 102x + 102 = 105x + 90
? 3x = 12
? x = 4
Hence, present ages of Neerja = 7 x 4 = 28 years