SOLUTION: a stairway has less than 20 steps. if tony goes up 2 steps at a time, then one step is left at the end. if he goes up 3 steps at a time then 2 steps are left. if he goes up 4 steps

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Question 812149: a stairway has less than 20 steps. if tony goes up 2 steps at a time, then one step is left at the end. if he goes up 3 steps at a time then 2 steps are left. if he goes up 4 steps at a time then 3 steps are left. how many steps does the stairway have?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a stairway has less than 20 steps. if tony goes up 2 steps at a time, then one step is left at the end. if he goes up 3 steps at a time then 2 steps are left. if he goes up 4 steps at a time then 3 steps are left.
how many steps does the stairway have?
:
11 steps, you can reason it out, but I am not sure how you would solve it with Algebra