What is the locker number for two consecutive numbered gym lockers have a sum of 145

72 and 73

Step-by-step explanation:

let the first locker number be "y"

Hence, the next locker number [consecutive] would be "y+1"

Since the SUM is 145, we can add up the two and write and equation. Then simply solve algebraically. Shown below:

So, the 2 locker numbers are 72 and 73

ok

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.