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The sum of two consecutive integers is at most 223.
What is the larger of the two integers ?

2 Answers

4 votes
at most means less than ore equal to
consecutive integers are 1 apart
x and x+1
is less than or equal than 223

x+x+1≤223
2x+1≤223
mminus 1 both sides
2x≤222
divide 2
x≤111
larger is x+1
add 1 to both sides
x+1≤112

larger is 112 at most
User Jesus H
by
8.1k points
6 votes
Let the 1st number represent x and the second number as y.


x+(x+1)=223


2x+1=223


2x=222


2x/2=222/2
|Divide \ both \ sides \ by \ 2|


x=111


y = 112

User Chan Jing Hong
by
8.3k points

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