Posted by **francis** on Sunday, January 27, 2013 at 10:18pm.

tilissa was on the middle rung of a ladder.she went up 3 rungs,thendown 5 rungs and then up 7 rungs where she rested.later she climbed up the remaining 7 rungs on the ladder.how many rungs did the ladder have?

- math -
**Reiny**, Sunday, January 27, 2013 at 10:57pm
To have a middle rung, the number of rungs must be odd

e.g. if she is on rung #7, there would be 13 rungs

6 below her, and 6 above her, she is on #7

So assume she is on rung #x

so there are 2x-1 rungs

x+3 - 5 + 7 = 2x-1

-x = -6

x = 6

The ladder had 2(6) -1 or 11 rungs

check:

she started at 6,

went up 3 , was on 9

went down 5, was on 4

went up 7, was on 11, the top rung

(Very dangerous to stand on the top rung of a ladder.)

- math -
**Harry**, Monday, March 30, 2015 at 8:02pm
25

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