Mohan's mother is three times as old as Mohan. After 6 years, his mother will be two times as old as he will be. Find the age of Mohan.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 6 years
Both ages grow by the same 6 years, so the two statements give one equation in Mohan's present age \(x\).
Now: Mohan \(x\), mother \(3x\)
After 6 years: mother \(3x+6\), Mohan \(x+6\)
\(3x+6=2(x+6)\)
\(3x+6=2x+12\)
\(x=6\) years (mother 18; after 6 years, 24 and 12)