The age of 5 people are in a ratio 2 : 3 : 4 : 5 : 6. If the age of the eldest of them is 42 years, find the average of their ages.

The age of 5 people are in a ratio 2 : 3 : 4 : 5 : 6. If the age of the eldest of them is 42 years, find the average of their ages. Correct Answer 28 years

Let the ages of the following people be in terms of a constant x. The age in terms of x will be 2x, 3x, 4x, 5x, and 6x. The age of the eldest person = 6x = 42 years 6x = 42 years X = 42 / 6 =7 years 2x = 2 * 7 = 14 years 3x = 3 * 7 = 21 years 4x = 4 * 7 = 28 years 5x = 5 * 7 = 35 years The respective ages of these 5 people are 14, 21, 28, 35 and 42 years. The sum of these ages = 14 + 21 + 28 + 35 + 42 = 140 Average age of the members = 140 / 5 = 28 years
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