Multiple choice

The ratio of the ages of two friends, Raj and Vijay, is 2 : 3, and the ratio of the ages of Vijay and Anil is 3 : 4. Additionally, the ratio of the ages of Anil and Sita is 5 : 6. If the average age of all four friends is 34.5 years, what is Vijay's age?

  1. 26 years

  2. 28 years

  3. 30 years

  4. 32 years

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

R:V = 2:3, V:A = 3:4, A:S = 5:6. R:V:A = 2:3:4. To include S, scale R:V:A by 5: 10:15:20. Then A:S = 5:6 = 20:24. R:V:A:S = 10:15:20:24. Total parts = 69. Average = 34.5, so total age = 34.5 * 4 = 138. 69x = 138, x = 2. Vijay's age = 15 * 2 = 30.