document.write( "Question 1052975: Which number who divided by 7,9,11and remainder 1,2,3? \n" ); document.write( "

Algebra.Com's Answer #668290 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Which number $\"highlight%28cross%28who%29%29\"$ when divided by 7,9,11 $\"highlight%28cross%28and%29%29\"$ gives the remainders 1,2,3 $\"highlight%28respectively%29\"$ ?
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document.write( "The numbers that give the remainder 1 when divided by 7, form an arithmetic progression \r\n" );
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document.write( "1, 8, 15, 22, 29, . . . (1 + 7(n-1)), . . . \r\n" );
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document.write( "Of these numbers, the smallest number that gives the remainder 2 when divided by 9, is .\r\n" );
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document.write( "Next, the numbers that give the remainder 1 when divided by 7 and the remainder 2 when divided by 9, form an arithmetic progression \r\n" );
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document.write( "29, 29+63 = 92, 29+2*63 = 155, 29+3*63 = 218,  . . . (29+(n-1)*63), . . . \r\n" );
document.write( "  (notice: 63 = 7*9)\r\n" );
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document.write( "Among them, the smallest number that gives the remainder 3 when divided by 11, is .\r\n" );
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document.write( "Answer.  Your number is 344.\r\n" );
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