Explanation of Answer

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mh1
Posts: 100
Joined: Thu Feb 21, 2008 10:48 pm

Explanation of Answer

Post by mh1 »

Hi

I'm having difficulty explaining the answer to the following question to a 10 yr old:

A,B,C, D, E, and F are 6 cities at points 1-6 but not in that order.
A is due north of C which is due east of B.
B is due south of F which is on of the two most westerly city.
E is not the furthest north city.


1
4 3 2
5 6


Need to match the numbers to the cities.

I have come up with an answer but need a explanation on the simplist method employed to deduce the answer.

1-D, 2-E, 3-A, 4-F, 5-B, and 6-C

Thank you for the help
andyb
Posts: 645
Joined: Tue Dec 04, 2007 10:27 am
Location: Buckinghamshire

Post by andyb »

I agree with your answer - which is a start :wink:

I started with the info regarding the western cities because there are more limiting criteria - B & F must both be in the west with F further north than B - at first glance they could be any of 1, 4 or 5 - but because C must be east of B and there is nothing east of 1, B and F must be 4 and 5 respectively putting C at 6. We are told A is due north of C so it must be 3. E cannot be the furthest north city so it must be 2, leaving D as 1.

1D

4F 3A 2E

5B 6C

Whether this is 10-year-old speak is another matter!
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