Posted by **Jimmy-Please HELP** on Saturday, November 3, 2012 at 9:38pm.

Find the smallest positive integer that leaves a remainder of 5 when divided by 7, a remainder of 6 when divided by 11, and a remainder of 4 when divided by 13.

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**Reiny**, Saturday, November 3, 2012 at 10:46pm
leaving remainder of 5 when divided by 7 ...

must be multiples of 7 plus 5 :

12 19 26 33 40 47 54 61 68 75 82 89 96 103 110 ..

remainder of 6 when divided by 11

17 28 39 50 61 72 83 94 105 116 127 ...

remainder of 4 when divided by 13

17 30 43 56 69 82 95 108 121 ...

noting so far, I will let you go on for a bit more.

Looking for a common number in all 3 lists,

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