Arjun is twice as old as Shreya. Five years ago, his age was three times Shreya's age. Find the sum of their present ages:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30 years
Each person is 5 years younger five years ago, so the two conditions give one equation in Shreya’s present age \(s\).
Present ages: Shreya \(s\), Arjun \(2s\)
Five years ago Arjun was three times as old as Shreya: \(2s-5=3(s-5)\)
Solving: \(2s-5=3s-15\), so Shreya is \(s=10\) years old
Arjun \(=20\), and the sum of their ages \(=10+20=30\) years