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A father is 25 years older than his son. After eight years the ratio of their ages will be 13:8. Find their present age.

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Age of son is 32 years and age of father is 57 years

Age of son is 33 years and age of father is 57 years

Age of son is 32 years and age of father is 58 years

Age of son is 33 years and age of father is 59 years

answer is A.

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Detailed Solution

Concept- The relation between the ages of the father and son are given. We can express the ratio of their ages after eight years using that. We get the answer by equating that with the given ratio and simplifying.
Let the age of son be

years.
Thus, age of father is

years.
After 8 years, their ages will be

And

It is given that

is the ratio of their ages.
Therefore,

\Rightarrow 8 x + 264 = 13 x + 104

My son is 32 years old.
Thus, age of father is

years.
Hence, the correct answer is option 1) Age of son is 32 years and age of father is 57 years.

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