Multiple choice

The ratio of ages of two persons is (2 : 3). The product of their ages is (726). What will be ratio of their ages after (11) years?

  1. $6 : 7$
  2. $5 : 4$
  3. $4 : 3$
  4. $3 : 4$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the ages be 2x and 3x. Then product is 6x^2 = 726, so x^2 = 121, x = 11. Current ages: 22 and 33. After 11 years: 33 and 44. Ratio = 33/44 = 3/4. Option D (3:4) matches this result. The ratio decreases because adding the same number to both parts of a ratio where one part is larger reduces the ratio.