three times the greatest of three consecutive even integers exceeds twice the least by 38.

let three consecutive even integers be x , x+2 , x+ 4

greatest = x+4 , least = x

3 times greatest = 2 times least + 38

3(x+4) = 2x + 38

3x + 12 = 2x + 38

3x - 2x = 38 - 12 , collect like terms

x = 26

integers are 26 , 26+2 , 26+4

26 , 28 , 30

check

3(30) = 2(26)+38

90 = 52+38

90 = 90 , true

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