Multiple choice

Age of Umesh will be 4 times the age of Reena in 6 years from today. If ages of Umeshand Mahesh are 7 times and 6 times the age of Reena respectively, what is present ageof Umesh?

  1. 64 years

  2. 30 years

  3. 48 years

  4. 42 years

  5. 40 years

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

Let Reena's present age be r. Umesh is 7r years old, and 7r + 6 = 4(r + 6), because his age will then be four times Reena's age. Solving gives r = 6 and Umesh's present age = 7 × 6 = 42 years.

AI explanation

Let Reena's present age be x years, so Umesh's present age is 7x. In 6 years, Umesh's age will be 7x + 6 and Reena's age will be x + 6. The problem states 7x + 6 = 4(x + 6), which expands to 7x + 6 = 4x + 24. Solving this gives 3x = 18, so x equals 6. Umesh's present age is 7x, which is 7 multiplied by 6, giving 42 years.