Multiple choice

Sum of the present ages of Gopal, Rajesh, Neelesh and Piyush is 96 years. The ratio of their ages is 3 : 7 : 11 : 13 after 10 years. How old is Neelesh as compared to Rajesh?

  1. 16 years

  2. 12 years

  3. 15 years

  4. 18 years

  5. None of these
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A Correct answer
Explanation

Sum of ages now = 96. Sum after 10 years = 96 + 40 = 136. Ratio 3:7:11:13 means sum of parts = 34. 136/34 = 4. Ages after 10 years: 12, 28, 44, 52. Present ages: 2, 18, 34, 42. Neelesh (34) vs Rajesh (18) difference is 16.

AI explanation

Let the present ages of Gopal, Rajesh, Neelesh and Piyush be 3x minus 10, 7x minus 10, 11x minus 10 and 13x minus 10. The sum of their present ages is 96, giving 34x minus 40 equals 96, so x equals 4. Neelesh's present age is 44 minus 10, which is 34, and Rajesh's present age is 28 minus 10, which is 18. The difference between their ages is 34 minus 18, which equals 16 years.

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