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.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> 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.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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