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Question

If the sum of three consecutive multiples of 9 is 108, then the average of multiples is

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Solution

If x is a multiple of 9, then next multiple is x + 9

The next to this is x + 9 + 9 = x + 18

So three consecutive multiples of 9 are x, x + 9, x + 18

x + (x + 9) + (x + 18) = 108

3x + 27 = 108

x = 108273 = 813 = 27
So, first multiple is 27
Second multiple is 27 + 9 = 36

Third multiple is 27 + 18 = 45.
Average of multiples = 27+36+453
= 36


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