Find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

Question

Mathematics

Darius Fitzpatrick

6 October, 06:45

Find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

+3

Answers (1)

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Cannon Lane · Answer 1

Let the first integer be x, then:-

2 (x + x + 2) = 3 (x + 6) + 14

4x + 4 = 3x + 18 + 14

x = 18 + 14 - 4 = 28

the four integers are 28,30,32 and 34.