SOLUTION: Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers.

Question 119404: Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers.
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!
Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers.


x = smaller
x+2 = larger

their sum, x+(x+2), is greater than, >, 98 decreased by, -, twice the
larger, 2(x+2).

So:

x+(x+2) > 98-2(x+2)
  x+x+2 > 98-2x-4
   2x+2 > 94-2x
  2x+2x > 94-2
     4x > 92
      x > 23

Since x is the smaller, it must be greater than 23,
and the larger, x+2, must be 25 or larger.

The smallest two such consecutive even integers are 24 and 26.

Edwin

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