The numbers are 45, 46 and 47.
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Do-it-in-your-head method: The middle number MUST be a third of the total so 138 divided by 3 is 46, making your three numbers 44, 46 and 48. Shazam!
The simplest way is to solve 4n + 6 = 138 for the smallest of them.
The integers are 44, 46 and 48.
27
138 is already a whole number in simplest form.