SOLUTION: if i go up a flight of stairs two at a time i get to the top without any being left over.if i try three at a time and again five at a time i still go to the top without any being

Question 1125380: if i go up a flight of stairs two at a time i get to the top without any being left over.if i try three at a time and again five at a time i still go to the top without any being left over.find the shortest path of stairs for which this is possible. how many would remain if i would go up the flight seven at a time.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
There must be 2*3*5 = stairs, as each of these step sizes divides evenly into the number of stairs.

30/7 leaves a remainder of 2 stairs.
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