The ages of Surabhi and Neerja are in the ratio of 6 : 7

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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.

1. 24 years
2. 26 years
3. 28 years
4. 32 years
5. .

Correct Option: C

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