Chup among has a very specific ritual for climbing up the steps to the temple first he climbs up to the middle step and meditate for one minute then he climbs up eight steps and faces east until here's a birds singing then he walks down twelve steps and picks up a pebble he takes one step up and tosses the pebble over his left shoulder now he walks up the remaining steps three at a time which only takes him,nine paces how many steps are there??
Answers
Answer:
Step-by-step explanation:
Here is one way to solve it. Since there _is_ a middle step, the number of steps is odd. So the number of steps has the form 2N+1, where N is a number we have to figure out. Let's number the steps starting from the bottom, so the first step is 1, then the second is 2, and so on. The middle step is then the (N+1)st step, since it has N steps below it and N steps above it. Now let's just follow the monk with this notation in mind. We can of course ignore everything he does besides taking steps, although I guess that information makes the problem more picturesque.
He goes to the middle step: that's step N + 1.
He climes 8 more: going to step (N + 1) + 8 = N + 9.
He walks down 12 steps: getting him to step (N + 9) - 12 = N - 3.
He takes one step up: so he's at (N - 3) + 1 = N - 2.
Nine paces of three steps each gets him to the top. In nine three-step paces we travel 9*3 = 27 steps. Since this gets us to the top step, which is step 2N + 1, we're told that
(his current position) + 27 = (the top step) = 2N + 1.
Since his current position was N - 2 we find that
N - 2 + 27 = 2N + 1.
Moving all the numbers to the left hand side and all the Ns to the right and simplifying we find that 24 = N. So there are 2N + 1 = 48 + 1 = 49 steps