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Chinatown's problem (Posted on 2015-07-02)

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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