Target Exam

CUET

Subject

General Aptitude Test

Chapter

General Ability

Topic

Age Problems

Question:

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:

Options:

20 years

30 years

40 years

50 years

Correct Answer:

30 years

Explanation:
The correct answer is Option (2) → 30 years let age of Arjun be ′x′ and age of Shreya be ′y′ then according to question x=2y−−−(1) and five years ago x−5=3(y−5) x−5=3y−15 x−3y+10=0−−−(2) using eq(1) 2y−3y+10=0 y=10 and x=20 age of Arjun is 20 and age of Shreya is 10 therefore sum of the ages = 20 + 10 = 30 years