SOLUTION: there are three consecutive integers such that the sum of the first two integers minus the third integer is four. what are the integers? An answer provided in text says x=6, how

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Question 619981: there are three consecutive integers such that the sum of the first two integers minus the third integer is four. what are the integers?
An answer provided in text says x=6, however ive calculated x=-2 ... am i missing a step or have i miscalculated something? please help. and thank you in advance. :)
Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website!
Let
First integer = x+1
Second integer=x+2
Third integer = x+3

Three consecutive integers such that the sum of the first two integers minus the third integer is four.
(x+1+x+2)-(x+3)=4
2x+3-x-3=4
x=4

First integer = x+1=4+1=5
Second integer=x+2=4+2=6
Third integer = x+3=4+3=7
Three consecutive integers are 5,6,7