31 + 32 + 33 = 96
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Their sum is three times the middle number.
That doesn't work. The number has to be divisible by three. Any three consecutive numbers add up to a multiple of three.
19, 20, 21
The three consecutive even numbers with a sum of 138 are 44, 46 and 48.
The sum is always 3 more than (triple the smallest number).