Help. Stuck on this question in how to answer Consecutive Integers

Question

The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 207. Find the integers. But I have to write it in (n, n+1, n+2 form etc.) and it asks me for the Larger integer and the smaller integer.

Answer 1

So, let's get started. Our two integers shall be x and x+3 (so that their difference is 3); x is the smaller of them.

BTW: this seems to have nothing to do with consecutiveness.

 

You're toldd: If the smaller is added to the square of the larger, the sum is 207. 

 

Can you express this in algebraic terms (which we just adopted)?  It's just a matter of doing, carefully, what it says to do.  Part of your equation will involve (x+3)²...