The sum between two unkown numbers is 234, you know that those numbers are consecutive, so if the lowest value is x, then the next value will be x+1
You can determine an equation using this information
x+(x+1)= 234
And clear the value of x
x+x+1=234
2x+1=234
2x=234-1
2x=233
x=233/2= 116.5
Then the next value will be
x+1= 116.5+1= 117.5≅ 118
The larges integer is 118