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Question

Presently, the age of Sam is six times the age of his son. Ten years later, the age of Sam will be four times the age of his son. Find the present age of sam.


A
45 years
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B
90 years
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C
105 years
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D
60 years
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Solution

The correct option is B 90 years
Let the present age of Sam be x years and the age of his son be y years.
Presently, the age of Sam is six times the age of his son.
Hence, x = 6y...(1)
After ten years, age of Sam will be (x+10) years and the and the age of his son will be (y+10) years.
According to the question, ten years later, the age of Sam will be four times the age of his son.
Hence, (x+10) = 4(y+10)...(2)
Substituting the value of x from (1) in (2),
(6y + 10) = 4y + 40
2y = 30
y = 15
we get y = 15 and x = 90.
Hence, the present age of Sam is 90 years.

Mathematics

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