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October 2, 2014

October 2, 2014

Posted by **Usher** on Wednesday, March 27, 2013 at 7:42pm.

- Math Olympiad -
**Topquark**, Wednesday, March 27, 2013 at 9:35pmAssume that there are x steps in all. Lara goes up (2x/3) steps and returns half the number of steps taken to 2x/6 or to (x/3) up from start.

After this there are (2x/3) steps still to go of which she once again takes (2/3)(2x/3)=(4x/9) steps to reach a spot which 6 steps away from the top.

Hence, x/3 + 4x/9 + 6 = x or x=27 steps.

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