document.write( "Question 1020623: In a hall 192 children are made to sit in rows and columns and number of rows is more than volumn by4 . What is the numbr of children in each column \n" ); document.write( "

Algebra.Com's Answer #636484 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "In a hall 192 children are made to sit in rows and columns and number of rows is more than column by 4 . What is the number of children in each column
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document.write( "1.\r\n" );
document.write( "Try to factor the number 192 into the product of two positive integers with the difference of 4 between them.\r\n" );
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document.write( "Actually, such factorization is unique: 192 = 16*12.\r\n" );
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document.write( "So, the number of columns is 12.\r\n" );
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document.write( "2.\r\n" );
document.write( "The other way is to solve the problem using equations.\r\n" );
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document.write( "Let x be the (unknown) number of columns.\r\n" );
document.write( "Then the number of rows is x+4, and your equation is \r\n" );
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document.write( "x*(x+4) = 192,  or   = .\r\n" );
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document.write( "Now you can apply the quadratic formula or use factoring. Let's factor left side polynomial: \r\n" );
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document.write( " = (x+16)*(x-12).\r\n" );
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document.write( "Then your equation is (x+16)*(x-12) = 0.\r\n" );
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document.write( "Its roots are x = -16 and x = 12.\r\n" );
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document.write( "Only positive x = 12 suits the condition.\r\n" );
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document.write( "Answer. 12 columns.\r\n" );
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