Multiple choice

The present age of Rahul is 7 times of present age of Varun, who is (\frac{1}{3}) times of present age of Divya. The present age of Divya’s husband is (\frac{5}{4}) times of present age of Divya. Find the sum of present age of Divya and Varun if difference between present age of Rahul and Divya’s husband is 26 years.

  1. 40 years

  2. 36 years

  3. 24 years

  4. 32 years

  5. 44 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Divya's age = x. Then Varun = x/3, Rahul = 7(x/3) = 7x/3, Divya's husband = 5x/4. Given: 7x/3 - 5x/4 = 26. Solving: (28x - 15x)/12 = 26, so 13x/12 = 26, giving x = 24. Sum of Divya and Varun = 24 + 24/3 = 24 + 8 = 32 years.

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