Answer:
[tex]x=46[/tex] and [tex]y=45[/tex]
Step-by-step explanation:
To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is [tex]x+y=91[/tex]. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is [tex]x-y=1[/tex]. Now, putting those two together for the system of equations, it's easiest to add them. The result will be [tex]2x=92[/tex] which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.
Hope this helped!
