The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find the present age of father?

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  1. 82 years.
  2. 80 years.
  3. 70 years.
  4. 84 years.

Answer (Detailed Solution Below)

Option 2 : 80 years.
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Detailed Solution

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Let the present age of son be x years

∴The present age of father = 4x years

After 10 years

Age of son = (x + 10) years

Age of father = (4x + 10) years

According to the given condition

4x + 10 = 3(x + 10)

4x + 10 = 3x + 30

4x – 3x = 30 –10

x = 20

∴Present age of son = 20 years.

and present age of father = 4x = 4 × 20 = 80 years.

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