document.write( "Question 1186516: A piece of iron rod costs P60. If the rod was 2 meter shorter and each meter costs P1 more, the cost would remain unchanged. What is the length of the rod? \n" ); document.write( "

Algebra.Com's Answer #817437 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "A piece of iron rod costs P60. If the rod was 2 meter shorter and each meter costs P1 more,
\n" ); document.write( "the cost would remain unchanged. What is the length of the rod?
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document.write( "Let x be the length of the rod, in meters.\r\n" );
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document.write( "Then the hypothetical length of the rod is (x-2) meters.\r\n" );
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document.write( "Next, we write this equation\r\n" );
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document.write( "     -  = 1,     (1)\r\n" );
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document.write( "saying that the cost of 1 meter of hypothetical road is P1 more than the cost of 1 meter of the real rod.\r\n" );
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document.write( "Now I will show you the way to solve this equation, which you newer saw before.\r\n" );
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document.write( "The difference   -   is equal to  ,\r\n" );
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document.write( "So, equation (1) takes the form\r\n" );
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document.write( "     = 1,\r\n" );
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document.write( "which implies\r\n" );
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document.write( "    120 = x*(x-2).\r\n" );
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document.write( "Thus the number 120 is the product of two numbers, that differ in 2 units.\r\n" );
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document.write( "You momentarily/instantly GUESS these numbers MENTALLY:  they are 12 and 10.\r\n" );
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document.write( "ANSWER.  The length of the road is 12 meters.\r\n" );
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