document.write( "Question 1016489: A certain number leaves a remainder of 4 when divided by 5, a remainder of 5 when divided by 6, and a remainder of 6 when divided by 7. Find the smallest number that satisfies these conditions. \n" ); document.write( "
Algebra.Com's Answer #632915 by ankor@dixie-net.com(22740)\"\" \"About 
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A certain number leaves a remainder of 4 when divided by 5,
\n" ); document.write( "The number has to end in a 4 or a 9
\n" ); document.write( ":
\n" ); document.write( " a remainder of 5 when divided by 6, and
\n" ); document.write( "multiples of 6 +5 ending in 4 or 9
\n" ); document.write( "29, 59, 89, 119, 149, 179, 209, 239, 269
\n" ); document.write( ":
\n" ); document.write( " a remainder of 6 when divided by 7.
\n" ); document.write( "multiples of 7 + 6 ending in 9 (4 does not appear in the previous list)
\n" ); document.write( "69, 139, 209, 279
\n" ); document.write( ":
\n" ); document.write( " Find the smallest number that satisfies these conditions.
\n" ); document.write( "looks like 209 is the winner!
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