document.write( "Question 122255: Find the smallest positive number that is divisible by 7 with a remainder of 4, divisible by 8 with a remainder of 5, and divisible by 9 with a remainder of 6. \n" ); document.write( "

Algebra.Com's Answer #89760 by solver91311(24713) $\"\"$ $\"About$

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document.write( "If a zero quotient is acceptable, then the answers are 4, 5, and 6.\r\n" );
document.write( "If the quotient must be at least 1 to qualify for your instructor's\r\n" );
document.write( "definition of 'divisible', then the answers are:\r\n" );
document.write( "7 + 4 = 11,\r\n" );
document.write( "8 + 5 = 13,\r\n" );
document.write( "and 9 + 6 =15.\r\n" );
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document.write( "The relationship is:\r\n" );
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document.write( " where N is the number (also referred to as the dividend),\r\n" );
document.write( "Q is the quotient, D is the divisor, and R is the remainder.\r\n" );
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document.write( "So for your first example:  N is what we want to determine, Q is either 0 or 1\r\n" );
document.write( "depending on what 'divisible' means, D is 7, and R is 4.  Hence:\r\n" );
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document.write( " or \r\n" );
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document.write( "I'll let you work out the other two.\r\n" );
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