I'm having a problem to find the best mathematical approach to solve below problem.
The problem statement::
"Jane staying at 13th floor, Jane goes to 15 floors downstairs for taking a gift that she left in her car. Then she goes upstairs to Marry house. Bob staying at 10th floor, he goes 6 floors upstairs to call his cousin and then goes downstairs to Marry house.
If the distance covered by Jane and Bob are same, what is the floor of Marry house?"
Now, what is the best mathematical approach that we can use to solve above problem instead of using mind logic? Could it be using matrix or classic algebra can solve this issue?
Let $x$ be Mary's floor. Jane goes 15 floors down, then $x+1$ floors up (we assume there's no floor zero), total, $x+16$. Bob goes 6 floors up, then $16-x$ down, total, $22-x$. As they cover the same distance, $x+16=22-x$. I'm sure you can take it from there.