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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 3 steps left at the top. When he does it 5 steps at a time, there are 2 steps left at the top. What is the smallest possible value of n that is greater than 10?

 Jul 13, 2020
 #1
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Number of stairs = n     when divided by 4      remainder = 3 

                                                                 5     remainder = 2

n> 10

 

Let's start by looking at the 5 remainder 2      =     12    17    22    27    32

    27 divided by 4 leaves a reamiander of 3 

 Jul 13, 2020

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