I am thinking of a number. If I divide the number by 6, I have a remainder of 4. If I divide the number by 8, I have a remainder of 6. What is the smallest possible number?

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Answer 1 · 2017-01-28T17:15:20

22

the number #-:6 -># remainder of 4

So: #"something "xx6+"remainder of 4 = the number"#

#2xx6=12" "+4 = 16 #
#color(red)(3xx6=18" "+4= 22)#
#4xx6=24" "+4=28#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
the number #-:8 -># remainder of 6

So: #"something "xx8+"remainder of 6 = the number"#

#color(red)(2xx8" "+6 = 22)#
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The least number is 22

The use of the word 'smallest' produces problems mathematically. It is not good practice to use 'smallest'.