7 + 8 + 9 = 24
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22, 23 and 24.
They are 24, 25 and 26, as well as the consecutive odd integers 23, 25 and 27.
Two consecutive even integers will be one more and one less than the quotient of their sum divided by 2. The given sum of the two consecutive integers divided by 2 is 25, so the two consecutive integers are 24 and 26.
The greatest integer is 24.
Their product is 143.