The ages of 3 brothers are in a ratio 3:5:11. If the difference between the ages of the youngest and the eldest brother is 24 years, find the total of their ages.

The ages of 3 brothers are in a ratio 3:5:11. If the difference between the ages of the youngest and the eldest brother is 24 years, find the total of their ages. Correct Answer 51 years

Let their ages be in relation to a constant term x. The ages of the brother = 3x, 5x and 11x respectively. The difference between the ages of the youngest and the eldest brother = 11x – 3x = 8x The difference = 24 years (given) 8x = 24 years X = 24 / 8 = 3 years The sum of their ages = 3x + 5x + 11x = 19x 19x = 19 * 3 = 51 years
Bissoy MCQ

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