Question

One number is five more than the other. The sum of the number is 17. Find the numbers

Answer 1

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
$y = x + 5$
And for "The sum of the numbers is 17" you would make:
$x + y = 17$
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.
$x + x + 5= 17 \\ 2x + 5 = 17 \\ 2x = 12 \\ x = 6$
Then you plug back the value into one of the equations like this:
$y = 6 + 5 \\ y = 11$
So your numbers would be 6 and 11.