Multiple choice

The ratio of present ages of A and B is 4 : 5. After 5 years the ratio of the age will 5 : 6. What will the age of B after 10 years.

  1. 30 year

  2. 25 year

  3. 35 year

  4. 45 year

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

Current ratio A:B = 4:5, so let A = 4x, B = 5x. After 5 years: (4x+5)/(5x+5) = 5/6. Cross-multiply: 24x+30 = 25x+25, so x = 5. Current ages: A = 20, B = 25. After 10 years, B will be 25+10 = 35 years. This is a standard ratio-age problem.