# From today, after five years the age of father will be three times of the age of the son, while five years ago father’s age was seven times of the age

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From today, after five years the age of father will be three times of the age of the son, while five years ago father’s age was seven times of the age of his son. Then the present ages of father and son, in years are respectively:
1. 31 and 7
2. 47 and 11
3. 40 and 10
4. None of these

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Correct Answer - Option 3 : 40 and 10

Given:

After five years the age of father will be three times of the age of the son.

Five years ago father’s age was seven times of the age of his son.

Calculation:

Let the age of son after 5 years be x.

Then, the age of father after 5 years be 3x.

The present age of son = x - 5

The present age of father = 3x - 5

The age of son 5 years ago = x - 5 - 5 = x - 10

The age of father 5 years ago = 3x - 5 - 5 = 3x - 10

According to the question;

⇒ 7(x - 10) = 3x - 10

⇒ 7x - 70 = 3x - 10

⇒ 4x = 60

⇒ x = 15

The present age of son = 15 - 5 = 10 years

The present age of father = 3 × 15 - 5 = 40 years

∴ The present ages of father and son is 40 years and 10 years.