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avatar+939 

How many numbers between $1000$ and $2000$ leave a remainder of $3$ when divided by $47?$

 Oct 11, 2024
 #2
avatar+135 
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We can rewrite this as100047x+32000, which we can simplify

99747x1997

211047x422347

 

The only natural numbers that fit in that range are 22 through 42, and there are 21 numbers in that range.

 Oct 11, 2024

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