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A boy's age is one fourth of his father'...

A boy's age is one fourth of his father's age. The sum of the boy's age and his father's age is 35. What will be father's age after 8 years?

A

15

B

28

C

35

D

36

Text Solution

Verified by Experts

The correct Answer is:
D

Suppose the age of son is x years.
Therefore, the age of father will be 4x years.
Now,
x + 4x = 35 years
` implies` 5x = 35 years
`therefore x=(35 )/(5) =7` years
Father.s age after 8 years
`= 7xx 4 + 8 = 28 + 8 = 36` years
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