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Chinatown's problem (Posted on 2015-07-02) Difficulty: 2 of 5
x ≡ 0 mod 2
x ≡ 1 mod 3
x ≡ 2 mod 5
x ≡ 3 mod 7

a. What is the smallest x?
b. What is the largest 4-digit x?

No Solution Yet Submitted by Ady TZIDON    
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Part b, alternative method Comment 3 of 3 |
x = 52 + 210k, where k is any integer

10000/210 ~= 47.6

so the answer to part b is either 52+47*210 or 52+46*210.

 52+47*210 = 9922
 
Since it is under 10,000, this is the answer

  Posted by Steve Herman on 2015-07-03 13:10:15
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