# SOLUTION: In a stairway there are 36 steps of equal height. If each step were 1 inch higher, there would have been 32steps. How high is each step?

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 Question 242627: In a stairway there are 36 steps of equal height. If each step were 1 inch higher, there would have been 32steps. How high is each step? Answer by Theo(3460)   (Show Source): You can put this solution on YOUR website!36 steps of size x 32 steps of size (x+1) since the vertical distance is the same, this means that: 36*x = 32*(x+1) remove parentheses to get: 36*x = 32*x + 32 subtract 32*x from both sides to get: 4*x = 32 divide both sides fo 4 to get: x = 8 x + 1 = 9 36*8 = 288 feet. 32*9 = 288 feet. same elevation so we should be good.