The present age of a father is 4 years more than double the age of his son. After 10 years, the father's age is 30 years more than his son. Then the present age of father is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 56 years
The difference between two people’s ages never changes, because both grow older by the same number of years. So if the father is 30 years older than his son after 10 years, he is 30 years older now as well.
Let the son’s present age be \(x\) years; the father’s is then \(2x+4\) years (4 more than double the son’s)
The father is 30 years older now, so father’s age minus son’s age is 30: \((2x+4)-x=30\)
This gives \(x+4=30\), so the son is \(x=26\) years old
Father’s present age \(=2\times26+4=56\) years
The value 26 years in Option (1) is the son’s present age; the question asks for the father’s.