Multiple choice

Sum of Rs 53 is divided among A, B, C in such a way that A gets Rs 7 more than what B gets and B gets Rs 8 more than what C gets The ratio of their shares is

  1. 16 : 9 : 18

  2. 25 : 18 : 10

  3. 18 : 25 : 10

  4. 15 : 8 : 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let C = x. Then B = x + 8, and A = (x + 8) + 7 = x + 15. Sum: x + x + 8 + x + 15 = 53 => 3x + 23 = 53 => 3x = 30 => x = 10. So C = 10, B = 18, A = 25. Ratio A:B:C = 25:18:10.

AI explanation

Let the share of C be x rupees. According to the problem, B's share is x + 8, and A's share is x + 8 + 7, which simplifies to x + 15. The total sum equation becomes x + x + 8 + x + 15 = 53, which is 3x + 23 = 53. Solving for x gives 3x = 30, so x = 10. Substituting this back, the shares for A, B, and C are Rs. 25, Rs. 18, and Rs. 10, making their ratio 25 : 18 : 10.

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