If the first and third of three consecutive even integers are added, the result is 22 less than three times the second integer. Find the integer.

Question

Mathematics

Colt Gay

4 October, 13:45

If the first and third of three consecutive even integers are added, the result is 22 less than three times the second integer. Find the integer.

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Answers (1)

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Dillon Duran · Answer 1

3 consecutive even integers ... x, x + 2, x + 4

x + x + 4 = 3 (x + 2) - 22

2x + 4 = 3x + 6 - 22

2x + 4 = 3x - 16

16 + 4 = 3x - 2x

20 = x

x + 2 = 20 + 2 = 22

x + 4 = 20 + 4 = 24

ur 3 integers are : 20,22,24