The sum of ages of 10 individuals is 100 years. If their ages are in a ratio 1 : 2 : 3 : 4 : 5 : 6 : 8 : 6 : 10 : 5, find the average of the 5 youngest people.

The sum of ages of 10 individuals is 100 years. If their ages are in a ratio 1 : 2 : 3 : 4 : 5 : 6 : 8 : 6 : 10 : 5, find the average of the 5 youngest people. Correct Answer 6 years

Let the ages be in terms of a constant x. Their ages in terms of x = x, 2x, 3x, 4x, 5x, 6x, 8x, 6x, 10x and 5x Sum of the ages = 100 years (given) Sum of ages in terms of x = 50x 50x = 100, x = 2 The ages of 10 people = 2, 4, 6, 8, 10, 12, 16, 12, 20 and 10 years The 5 minimum ages = 2, 4, 6, 8 and 10 years Sum of their ages = 30 years Average age of 5 minimum ages = 30 / 5 = 6 years
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