four friends live in a nine story apartment building. abigail lives three floors down from Daniyal(i.e if Daniyal lives on the 4th floor, Abigail lives on the 1st floor) Boxuan lives on either the seventh or eighth floor. Crystal does not live on an even-numbering floor. The floors that the four friends live on are equal distances apart. Which floor does each friend live on?
Answers
Given : four friends live in a nine story apartment building. abigail lives three floors down from Daniyal . Boxuan lives on either the seventh or eighth floor. Crystal does not live on an even-numbering floor. The floors that the four friends live on are equal distances apart.
To find : Which floor does each friend live on
Solution:
Nine floors are from 1 to 9
abigail lives three floors down from Daniyal
Hence either distance between floors can be 1 or 3
distance between floors 3 is not possible so distance is 6
Boxuan lives on either the seventh or eighth floor. 7 or 8
Hence possible combination
9 , 8 ,7 , 6 or 8 , 7 , 6 , 5 or 7 , 6 , 5 , 4
7 , 6 , 5 , 4 is not possible
as then 7 & 4 has to be occupied by Daniyal & abgil
which is not possible
Crystal does not live on an even-numbering floor.
Means Crystal lives on 5 , 7 , 9
check 9 , 8 ,7 , 6
Daniyal lives at 9
abigail lives at 6
Crystal lives on 7 ( odd number )
& Boxuan lives on 8 th
This is a possible combination with given Detail
Check 8 , 7 , 6 , 5
Daniyal lives at 8
abigail lives at 5
Boxuan lives on 7 th
Crystal can not live on 6th ( even number )
not possible
hence Friends lives from 6 - 9 floor
abigail lives at 6
Crystal lives on 7
& Boxuan lives on 8 th
Daniyal lives at 9
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