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Number Properties/How do you solve this..

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Number Properties/How do you solve this.. [#permalink] New post 22 Dec 2009, 21:52
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This Q is from Kaplan Mathwork out book..
Could someone please explain how to solve this... I still dont understand after reviewing the detailed answer that is explained in the book...

Q) A wire is cut into three equal parts. The resulting segments are then cut into 4,6, and 8 equal parts respectively. If each of the resulting segments has an integer length, what is the minimum lengthe of the wire..?

The answer is 72...

Thanks..
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Re: Number Properties/How do you solve this.. [#permalink] New post 22 Dec 2009, 22:02
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gmatJP wrote:
This Q is from Kaplan Mathwork out book..
Could someone please explain how to solve this... I still dont understand after reviewing the detailed answer that is explained in the book...

Q) A wire is cut into three equal parts. The resulting segments are then cut into 4,6, and 8 equal parts respectively. If each of the resulting segments has an integer length, what is the minimum lengthe of the wire..?

The answer is 72...

Thanks..


we have 3 equal parts of the original wire. Now for the segments to give 4,6 and 8 equal parts of integer length the minimum length of the segment will be 24 [which is LCM of 4,6,8]

So length of wire = 3* 24 = 72
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Re: Number Properties/How do you solve this.. [#permalink] New post 22 Dec 2009, 23:08
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the lengths will be x/12,x/18, and x/24

lcm of 12,18,24=72

hence x=72 will give an int
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Re: Number Properties/How do you solve this.. [#permalink] New post 23 Dec 2009, 06:39
Nicely cleared... thank you so much..! :-D
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Re: Number Properties/How do you solve this.. [#permalink] New post 23 Dec 2009, 12:18
Let the length of the wire be l.
Therefore each segment is l\3
Divided into 4, 6 and 8 segments

Part1: l\3*4
Part2: l\3*6
Part3:l\3*8

LCM: 12 - 18 - 24
is
72
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Re: Number Properties/How do you solve this.. [#permalink] New post 23 Dec 2009, 12:23
Yup, the key is figuring out that we need the LCM to be calculated.
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Re: Number Properties/How do you solve this..   [#permalink] 23 Dec 2009, 12:23
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