To solve these type of questions, you need to create 2 equations that represent the two statements given. So for "One number is 5 times more than the other." You'll make
[tex]y = x + 5[/tex]
And for "The sum of the numbers is 17" you would make:
[tex]x + y = 17[/tex]
What you would do after this is put the value of y, x + 5, into the second equation. This gets the x alone, allowing you to solve for x.
[tex]x + x + 5= 17 \\ 2x + 5 = 17 \\ 2x = 12 \\ x = 6[/tex]
Then you plug back the value into one of the equations like this:
[tex]y = 6 + 5 \\ y = 11[/tex]
So your numbers would be 6 and 11.
