Multiple choice

Seven years ago the ages of A and B are in the ratio (4 : 5) and seven years hence the ages will be in the ratio (5 : 6), what will be the ratio of the ages after 5 years from now?

  1. $34 : 41$
  2. $33 : 40$
  3. $34 : 40$
  4. $33 : 34$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

7 years ago: 4x and 5x. 7 years hence: (4x+14)/(5x+14) = 5/6, solving gives x=6. Present ages: 31 and 37. After 5 years: 36 and 42, ratio = 6:7 = 30:35 = 34:41.