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

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Question 1125379: 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 Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
least common multiple of 2, 3, and 5 would be 30.

30 / 2 = 15 with no remainder.
30 / 3 = 10 with no remainder.
30 / 5 = 6 with no remainder.

30 / 7 = 4 with a remainder of 2.

i think that answers your question.