# A father is three times as old as his son. In 12 years time, he will be twice as old as his son. Find the present ages of father and the son.

Last updated date: 24th Mar 2023

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Answer

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Hint: In the given problem, we need to understand the relation between the ages of father and his son.

Let the present age of son = x years

Then, The present age of father = 3x years

After 12 years, their ages will be

Age of son = x + 12 years

Age of father = 3x + 12 years.

From the given information it is known that, father age will be twice the age of his son after 12 years, Then we can write

3x + 12 = 2 (x + 12)

On simplification, it will be

x = 12.

Father’s age is 3x = 3(12) = 36.

$\therefore $ The present age of the son is 12 years and his father's age is 36 years.

Note:

We have to clearly understand the given information, the relation between the father and his son's age at present and after 12 years, to represent them in mathematical variables. After getting everything in variables we can easily simplify the variables to get the desired values.

Let the present age of son = x years

Then, The present age of father = 3x years

After 12 years, their ages will be

Age of son = x + 12 years

Age of father = 3x + 12 years.

From the given information it is known that, father age will be twice the age of his son after 12 years, Then we can write

3x + 12 = 2 (x + 12)

On simplification, it will be

x = 12.

Father’s age is 3x = 3(12) = 36.

$\therefore $ The present age of the son is 12 years and his father's age is 36 years.

Note:

We have to clearly understand the given information, the relation between the father and his son's age at present and after 12 years, to represent them in mathematical variables. After getting everything in variables we can easily simplify the variables to get the desired values.

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