I am still not sure on this answer. I would like someone to help me see the solution to his question. I was working on it for a while and it is the only question that I looked at that I can not answer.
Find all pairs of positive integers $m$ and $n$ where $m<n$ such that the sum of $m$ and $n$ added to the product of $m$ and $n$ is equal to $2014$
I just thought about this question and wanted to know how would you solve something like this. Is there a formula that we can use? Is there a certain way we can do this? Out of curiosity, what would the solution look like? Can someone please show me how to do this?
I know the factors of $2014$ are $2*19*53$ and the factors of $2015$ are $5*13*31.$ I know that $mn+m+n$ $=$ $(m+1)(n+1).$ How would I figure out the integers for $m$ and $n$ though.