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Father is four times as old as his son. Four years hence, the sum of their ages will be 43 years. The ages of the son and the father are respectively:
1. 7 and 28 years
2. 5 and 27 years
3. 3 and 26 years
4. None of the above

1 Answer

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Best answer
Correct Answer - Option 1 : 7 and 28 years

Let the age of son be x

Age of Father = 4x

4 years hence, 

Age of son = x + 4

Age of Father = 4x + 4

According to question,

Age of Father after 4 years + Age of Son after 4 years = 43

⇒ 4x + 4 + x + 4 = 43

⇒ 5x + 8 = 43

⇒ 5x = 43 - 8

⇒ 5x = 35

⇒ x = 35 ÷ 5

⇒ x = 7

So, Age of son = x = 7 years

Age of Father = 4x = 4 × 7 = 28 years

Hence, 7 and 28 years is the correct answer.

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