document.write( "Question 90287: I need help!
\n" ); document.write( "I don't know how to make a formula for this word problem:\r
\n" ); document.write( "\n" ); document.write( "Two numbers are in the ratio of 7 to 10. If 24 is added to each number, the resulting numbers are in the ratio of 1 to 2. Find the smaller of the two original numbers. \n" ); document.write( "

Algebra.Com's Answer #65553 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "I don't know how to make a formula for this word problem: \r\n" );
document.write( "Two numbers are in the ratio of 7 to 10. If 24 is added\r\n" );
document.write( "to each number, the resulting numbers are in the ratio \r\n" );
document.write( "of 1 to 2. Find the smaller of the two original numbers.\r\n" );
document.write( "\r\n" );
document.write( "Two numbers are in the ratio of 7 to 10\r\n" );
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document.write( " = \r\n" );
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document.write( "which becomes upon cross-multiplying:\r\n" );
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document.write( " = \r\n" );
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document.write( "If 24 is added to each number, the resulting numbers\r\n" );
document.write( " are in the ratio of 1 to 2\r\n" );
document.write( "\r\n" );
document.write( " = \r\n" );
document.write( "\r\n" );
document.write( "which becomes upon cross-multiplying:\r\n" );
document.write( "\r\n" );
document.write( " = \r\n" );
document.write( "\r\n" );
document.write( " = \r\n" );
document.write( "\r\n" );
document.write( " = \r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( " = \r\n" );
document.write( " = \r\n" );
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document.write( "Solve that system of equations and the answer is\r\n" );
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document.write( "x = -42 and y = -60\r\n" );
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document.write( "The smaller is -60, because the SMALLER of two NEGATIVE\r\n" );
document.write( "numbers is always the one with the LARGER absolute value.\r\n" );
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document.write( "So the answer is -60\r\n" );
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document.write( "Let's check: with the words:\r\n" );
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document.write( "-42 and -60 are in the ratio of 7 to 10 because the fraction\r\n" );
document.write( " reduces to  \r\n" );
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document.write( "If 24 is added to each number, we get -42+24 or -18, and\r\n" );
document.write( "-60+24 or -36\r\n" );
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document.write( "-18 and -36 are in the ratio of 1 to 2 because the fraction\r\n" );
document.write( " reduces to \r\n" );
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document.write( "Edwin

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