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A man is five times as old as his son. four years later the sum of their ages will be 56 years. How old is the son at present ?
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- 12 years
- 5 years
- 6 years
- 8 years
Correct Option: D
Let the present age of man be x years and the age of his son be y years.
From 1st condition,
x = 5y .....(i)
From 2nd condition ,
(x + 4 ) + (y + 4) = 56
⇒ x + y + 8 = 56
⇒ x + y = 48 ... (ii)
Putting x = 5y in equation (ii)
5y + y = 48
⇒ 6y = 48
⇒ y = 8
∴ Age of son = 8 years