# SOLUTION: find all sets of three consecutive multiples of 4 whose sum is between 72 and 108

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 Click here to see ALL problems on Numbers Word Problems Question 584165: find all sets of three consecutive multiples of 4 whose sum is between 72 and 108Answer by htmentor(808)   (Show Source): You can put this solution on YOUR website!find all sets of three consecutive multiples of 4 whose sum is between 72 and 108 ================================ Let n = the smallest number Then the other two numbers are n+4 and n+8 The sum is n + n+4 + n+8 = 3n + 12 72 <= 3n+12 <= 108 This gives 72 <= 3n+12 60 <= 3n 20 <= n 3n+12 <= 108 3n <= 96 n <= 32 So n ranges from 20 to 32. This gives the following sets: 20, 24, 28 24, 28, 32 28, 32, 36 32, 36, 40