Multiple choice

The sum of the present ages of Gaurav and Rahul is 77 years. If the ratio of their present ages is 2 : 5, find their present ages.

  1. 22 years and 55 years

  2. 21 years and 56 years

  3. 27 years and 50 years

  4. 15 years and 62 years

  5. 17 years and 60 years

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A Correct answer
Explanation

Let the ages be 2x and 5x. 2x + 5x = 77, so 7x = 77, x = 11. The ages are 2*11 = 22 and 5*11 = 55.

AI explanation

Let the common multiplier be x, making Gaurav's age 2x and Rahul's age 5x. Their sum is 77, so 2x + 5x = 77, which means 7x = 77 and x = 11. Gaurav's age is 2(11) = 22 years and Rahul's age is 5(11) = 55 years. The ages are 22 years and 55 years.