Multiple choice

Present ages of Arpita and Nisha are in the ratio of 5:6 respectively .After four years this ratio becomes 6: 7 .What is the difference between their present ages?

  1. 8 years

  2. 6 years

  3. 3 years

  4. 4 years

  5. None of these

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

Let present ages be 5x and 6x. After 4 years: (5x + 4)/(6x + 4) = 6/7. Cross-multiply: 7(5x + 4) = 6(6x + 4), giving 35x + 28 = 36x + 24. Solving gives x = 4. Present ages are 20 and 24. Difference = 4 years. Option A (8 years) would be correct if asked for sum of ages instead of difference.