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)![]() ![]() You can put this solution on YOUR website! 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! \n" ); document.write( " |