SOLUTION: list all the two-digit numbers which leave a remainder of 6 and when 171 is divided by them

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Question 327097: list all the two-digit numbers which leave a remainder of 6 and when 171 is divided by them
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Let X and Y both be integers, X has two digits.
171%2FX=Y%2B6%2FX
171=XY%2B6
XY=165
Look for factors of 165
165=3%2A5%2A11
The 2 digit product combiations are then
11
15
33
55
There are 4 2-digit numbers that leave a remainder of 6.
171%2F11=15%2B6%2F11
171%2F15=11%2B6%2F15
171%2F33=5%2B6%2F33
171%2F55=3%2B6%2F55