The equation to solve this is...
x + (x + 2) + (x + 4) = 138
x + x + x + 2 + 4 = 138
3x + 6 = 138
3x = 132
x = 44
x = 44
x + 2 = 46
x + 4 = 48
So, the three consecutive even numbers that add up to 138 are...
44, 46, & 48
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