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Shyam is 3 times as old as his son. After 10 years the sum of their ages will be 76 years. the respective ages of the father and the son are .... and .... years. ?
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- 42, 14
- 39, 13
- 45, 15
- None of these
Correct Option: A
Let son's age present age be x years .
∴ Father's present age = 3x years
Son's age 10 years hence = ( x + 10) years
Father's age 10 years hence = (3x + 10)
As per the condition ,
∵ ( x + 10) + (3x + 10) = 76
⇒ 4x = 56
∴ x = 14
∴ Son's present age = 14 years
Father's present age = 42 years