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The total age of a family is 120 years if the ages of the only 24 members of the family are in a ratio 1 : 2 : 4 : 5, find the ratio of the ages of the family members after 8 years.

The total age of a family is 120 years if the ages of the only 24 members of the family are in a ratio 1 : 2 : 4 : 5, find the ratio of the ages of the family members after 8 years. Correct Answer 9 : 14 : 24 : 29

Let their ages be in terms of x. X + 2x + 4x + 5x = 120 years 12x = 120 years X = 10 years X = 10 years, 2x = 20 years, 4x = 40 years, 5x = 50 years After 8 years their ages will be 18, 28, 48 and 58 years. The ratio of their ages will be 9 : 14 : 24 : 29.

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