Question

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

Answer 1

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

Answer 2

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`