Multiple choice

What is the age of Rahul? Statement I : The ratio of present age of Kailash and Rahul is 3 : 5 and 4 years before Kailash was 8 years younger than Rahul. Statement II : 3 years ago the ratio of ages of Kailash and Rahul was 4 : 7 and 3 years hence the ratio will become 2 : 3.

  1. Only I

  2. Only II

  3. Either I or II

  4. Both together

  5. Both together are sufficient

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: Kailash:Rahul = 3:5. Let Kailash=3x, Rahul=5x. 4 years ago: 3x-4 = 5x-4-8, giving 3x-4 = 5x-12, so 2x=8, x=4. Thus Rahul=20 years - sufficient. Statement II: 3 years ago ratio was 4:7, and 3 years hence ratio will be 2:3. Let ages be K and R. (K-3)/(R-3)=4/7 and (K+3)/(R+3)=2/3. These two equations can be solved for K and R independently. Both statements alone are sufficient, making 'Either I or II' correct.