document.write( "Question 1041255: two numbers are in ratio 4:5. if difference of their cubes is 61, find the number \n" ); document.write( "
Algebra.Com's Answer #656232 by Edwin McCravy(20055)\"\" \"About 
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two numbers are in ratio 4:5.
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document.write( "Let x = the smaller number\r\n" );
document.write( "Let y = the larger number\r\n" );
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document.write( "\"x%2Fy\"\"%22%22=%22%22\"\"4%2F5\"\r\n" );
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document.write( "Cross-multiply:\r\n" );
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document.write( "\"5x\"\"%22%22=%22%22\"\"4y\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"4y%2F5\"\r\n" );
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\n" ); document.write( "if difference of their cubes is 61,
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document.write( "\"y%5E3-x%5E3\"\"%22%22=%22%22\"\"61\"\r\n" );
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document.write( "Substitute \"4y%2F5\" for x:\r\n" );
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document.write( "\"y%5E3-%284y%2F5%29%5E3\"\"%22%22=%22%22\"\"61\"\r\n" );
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document.write( "\"y%5E3-64y%5E3%2F5%5E3\"\"%22%22=%22%22\"\"61%2A5%5E3\"\r\n" );
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document.write( "Multiply through by 125\r\n" );
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document.write( "\"125y%5E3-64y%5E3\"\"%22%22=%22%22\"\"61%2A5%5E3\"\r\n" );
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document.write( "\"61y%5E3\"\"%22%22=%22%22\"\"61%2A5%5E3\"\r\n" );
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document.write( "Divide both sides by 61.\r\n" );
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document.write( "\"y%5E3\"\"%22%22=%22%22\"\"5%5E3\"\r\n" );
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document.write( "Take cube roots of both sides:\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"5\"\r\n" );
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document.write( "Since y = the larger number, the larger number is 5\r\n" );
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document.write( "Since x = the smaller number, and \"x\"\"%22%22=%22%22\"\"4y%2F5\"\r\n" );
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document.write( "the smaller number \"%22%22=%22%22\"\"4%285%29%2F5\"\"%22%22=%22%22\"\"4\"\r\n" );
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document.write( "Edwin
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