Practicing Success

Target Exam

CUET

Subject

General 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