Multiple choice

The present ages of Ramesh, Jay and Vansh are in proportion 4 : 5 : 7. Six years ago, the sum of their ages was 62. What would be the average of the present ages of all the persons, if Harish whose age is 12 years joins Ramesh, Jay and Vansh?

  1. 23 years

  2. 21 years

  3. 22 years

  4. 17 years

  5. 18.5 years
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A Correct answer
Explanation

Let ages be 4x, 5x, 7x. Six years ago, sum was (4x-6)+(5x-6)+(7x-6) = 16x-18 = 62, so 16x=80, x=5. Present ages are 20, 25, 35. With Harish (12), total age = 20+25+35+12 = 92. Average = 92/4 = 23.

AI explanation

Let the present ages of Ramesh, Jay, and Vansh be 4x, 5x, and 7x respectively. Six years ago, their ages were 4x - 6, 5x - 6, and 7x - 6, and the sum of these ages is given as 62. The equation becomes (4x - 6) + (5x - 6) + (7x - 6) = 62, which simplifies to 16x - 18 = 62. Solving for x gives 16x = 80, so x equals 5, making their current ages 20, 25, and 35. The sum of the present ages of Ramesh, Jay, and Vansh is 80, and adding Harish's age of 12 gives a new total of 92. Dividing this total by 4 people gives an average age of 23 years.

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