A father's age is one year more than 5 times his son's age. After 3 years, the father's age will be 2 years less than 4 times the son's age. Find the present age of the father (in years).
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 31
Take the son's present age as \(s\) and write the father's age from the first condition; the second condition then fixes \(s\).
Father now \(=5s+1\)
After 3 years: \((5s+1)+3=4(s+3)-2\)
\(5s+4=4s+10\), so \(s=6\)
Father now \(=5\times6+1=31\) years