SOLUTION: There is a number less than 4,000 that when divided by any number higher than 4 but lower than
10, it leaves a remainder of 3. What is the mystery number?
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Question 1074998: There is a number less than 4,000 that when divided by any number higher than 4 but lower than
10, it leaves a remainder of 3. What is the mystery number?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
My guess is: 2523
I picked my factors as:
I left out because it is ,
and those factors are already included in
and
-------------------------------
----------------------
I want a remainder of after each
of these divisions, so
--------------------
Definitely get another opinion on this!
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
.
For similar problem, see the lesson
- The number that leaves a remainder 1 when divided by 2, by 3, by 4, by 5 and so on until 9
in this site.
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