Find the sum of three consecutive odd integers if the sum of the first two integers is equal to twenty-four less than four times the third integer

Question

Luke Summers

Mathematics

9 June, 14:32

Find the sum of three consecutive odd integers if the sum of the first two integers is equal to twenty-four less than four times the third integer

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Answers (1)

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Sydney Simon · Answer 1

Let the three integers be x - 2, x and x + 2, then

x - 2 + x = 4 (x + 2) - 24

2x - 2 = 4x + 8 - 24

4x - 2x = - 2 + 16

2x = 14

x = 7

Therefore, the integers are 5, 7 and 9