Five years ago, Nuri was thrice as old as Sonu. After ten years from now, Nuri will be twice as old as Sonu. Present ages of Nuri and Sonu respectively are
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 50 years, 20 years
Each person’s age changes by the same number of years, so the two conditions give two equations in the present ages. Let Nuri’s present age be \(N\) and Sonu’s \(S\).
Five years ago: \(N-5=3(S-5)\), so \(N=3S-10\) (1)
Ten years from now: \(N+10=2(S+10)\), so \(N=2S+10\) (2)
Equating (1) and (2): \(3S-10=2S+10\), so \(S=20\)
From (2): \(N=2\times20+10=50\)
Nuri is 50 years old and Sonu 20 years.