SOLUTION: find the two greatest consecutive even integers whose sum is less than 60 Plesae show detail of the work. Thank

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Question 669575: find the two greatest consecutive even integers whose sum is less than 60
Plesae show detail of the work.
Thank
Found 2 solutions by lynnlo, MathTherapy:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by MathTherapy(10555) About Me  (Show Source):
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find the two greatest consecutive even integers whose sum is less than 60
Plesae show detail of the work.
Thank

Let the smaller of the 2 integers be S
Then the larger integer = S + 2

We can then say that: S + S + 2 < 60

2S < 58

S, or smaller integer < 58%2F2, or S+%3C+29

Since smaller of the 2 consecutive even integers is less than 29, then the smaller even integer = 28.

The two consecutive even integers are: highlight_green%2828_and_30%29

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