Answer: 35 and 27
Step-by-step explanation:
We can solve this by using a system of equations
x will be the first number while y will be the second
[tex]x+y=62[/tex]
This equation means the two numbers will add to get 62
[tex]x-y=8[/tex]
This equation means when subtracted the two numbers will have the difference of 8.
Now I will solve by elimination
[tex]x+y=62\\\\+x-y=8\\2x=70[/tex]
When adding the two equations why was eliminated so now we can find the value of x
[tex]2x=70\\\frac{2x}{2} =\frac{70}{2} \\x=35[/tex]
Now sub in x into one of the original equations to find the value of y
[tex]35+y=62\\35-35+y=62-35\\y=27[/tex]
