Respuesta :

Let the 1st number represent x and the second number as y.  

[tex]x+(x+1)=223 [/tex]

[tex]2x+1=223 [/tex]

[tex]2x=222 [/tex]

[tex]2x/2=222/2[/tex]  [tex]|Divide \ both \ sides \ by \ 2|[/tex]

[tex]x=111[/tex]  

[tex]y = 112 [/tex]
apologiabiology
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