Find 3 consecutive integers such that 3 times the sum of the first and third is 84 less than 12 times the secind

Question

Mathematics

Sylvia Goodman

28 March, 01:15

Find 3 consecutive integers such that 3 times the sum of the first and third is 84 less than 12 times the secind

+4

Answers (1)

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Rogelio Kelley · Answer 1

Let x = 1st integer

x + 1 = 2nd integer

x + 2 = 3rd integer

3 (x + x + 2) = 12 (x + 1) - 84

3 (2x + 2) = 12x + 12 - 84

6x + 6 = 12x - 72

-6x = - 78

x = 13

Answer: 13, 14, 15