When we say that Ray is climbing up the stairs M at a time, we mean that he starts on the floor (step 0) then jumps to step m and then to 2m and so on until the number of steps to the top is less than m. Ray climbs up a flight of stairs of n steps in two ways. When he does it 4 steps at a time, there are 2 steps left at the top. When he does it 5 steps at a time, there are 3 steps left at the top. What is the smallest possible value of n that is greater than 10?

Guest Jan 25, 2021