Consider this question

Question

The sum of two integers is  113, and the larger number is 17 more than 33 times the smaller number. Find the two integers.

Answer 1

You should start off by translating the question into equation form.

since the question says the sum of two integers is 113 we can assign a variable to both our unkown numbers and make the first one x and the second y

we then follow the question and make

x+y=113

it then says that the larger number is 17 more than 33 times the smaller

lets choose x as the greater number and y as the smaller

that means that

x+17=33y

you then solve the system of system of equations with substitution by subtracting the y from both sides of the x+y=113 equation

x=113-y

you then plug that in to the second equation

(113-y)+17=33y and solve for y

Answer 2

The problem makes more sense if you meant "17 more than 3 times the smaller number", so that's what I'll assume.

Let x be the smaller number and y be the larger number. Their sum is 113:

x + y = 113

The larger number is 17 more than 3 times the smaller number:

y = 3x + 17

Substitute 3x + 17 in place of y in the first equation and solve for x, the smaller number. Plug that value into the second equation to get the value of y, the larger number.