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The present age of Sanyal is 3 times the present age of his son. Six years hence, the ratio of their ages will be 5 : 2 respectively. The present age of Sanyal is:
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- 48 years
- 50 years
- 54 years
- 60 years
Correct Option: C
Let us assume the present age of son be x then his father present age will be 3x.
According to question,
Six years hence, the ratio of their ages will be 5 : 2 respectively
(3x + 6)/(x+6) = 5/2
⇒ (3x + 6)2 = 5(x+6)
⇒ 6x + 12 = 5x + 30
∴ x = 18
Hence, age of Sanyal = 3 x 18 = 54 years
