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

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) (Show Source): You can put this solution on YOUR website!
32,,38
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

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 < , or

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

The two consecutive even integers are:

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