Multiple choice

Eight years ago, the ratio of ages of A and B was 5 : 4. The ratio of their present age is 6 : 5. What will be the sum (in years) of the ages of A and B after 7 years from now?

  1. 102

  2. 114

  3. 107

  4. 90

  5. 120

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

Let ages 8 years ago be 5x and 4x. Present ages: 5x+8 and 4x+8 in ratio 6:5. So (5x+8)/(4x+8) = 6/5. Solving: 25x+40 = 24x+48, giving x=8. Present ages: 48 and 40. After 7 years: 55 and 47. Sum = 102, matching option A.