Multiple choice

Manoj, Reeta and Simar's present ages for the year 2019 are in the proportion 4: 7: 9. Eight years ago, the avearge of Manoj and Reeta's ages was 25. What is the difference between the average of Manoj's present age and Reeta's age in 2029 and Simar's age in 2030?

  1. 13 years and 6 months

  2. 20 years

  3. 21 years and 3 months

  4. 27 years

  5. 36 months

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Let the present ages of Manoj, Reeta and Simar be 4x, 7x and 9x; eight years ago, the average of Manoj and Reeta's ages was 25, giving the equation (4x - 8 + 7x - 8) / 2 = 25. Solving this gives 11x - 16 = 50, meaning 11x = 66 and x = 6, so their present ages are 24, 42 and 54. The average of Manoj's present age and Reeta's age in 2029 is (24 + 42 + 10) / 2 = 38. Simar's age in 2030 will be 54 + 11 = 65, and the difference is 65 - 38 = 27. The result is 27 years.