Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.

Question

Mathematics

Alvin Cuevas

12 January, 00:26

Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.

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Answers (1)

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Orlando Ochoa · Answer 1

Let x be the first

the second x + 2

the third x + 4

twice the smallest 2x

three times the largest 3 (x+4)

2x + 3 (x+4) = 42

2x + 3x + 12 = 42

5x = 30

x=6 the second is 8 the third is 10