SOLUTION: The greater of two comsecutive even integers is 20 more than twice the smaller. Find the integers.

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Question 106285This question is from textbook Algabra Structure and Method
: The greater of two comsecutive even integers is 20 more than twice the smaller. Find the integers. This question is from textbook Algabra Structure and Method

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let two comsecutive even be: x and x%2B2 where x%2B2 is greater number
if the greater of two comsecutive even integers x%2B2 is 20 more than twice the smaller (2x), then we have:
2x+%2B+20+=+x+%2B+2 ......... add -x to both sides
2x+-+x+%2B+20+=+x+-+x+%2B+2
x+%2B+20+=+2...........add -20 to both sides
x+%2B+20+-+20+=+2+-+20

x+=+-18............smaller number
x%2B2+=+-18%2B2+=+-16.......greater number
check:
2x%2B20 must be equal -16
2%2A%28-18%29+%2B+20+=+-36+%2B+20+=+-+16