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 #656235 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "two numbers are in ratio 4:5. if difference of their cubes is 61, find the number
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document.write( "\"x%2Fy\" = \"4%2F5\" --->\r\n" );
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document.write( "\"x%5E3%2Fy%5E3\" = \"4%5E3%2F5%5E3\" = \"64%2F125\".\r\n" );
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document.write( "Let a = \"x%5E3\", b = \"y%5E3\".\r\n" );
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document.write( "Then \r\n" );
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document.write( "\"a%2Fb\" = \"64%2F125\"     (1)   and\r\n" );
document.write( "b - a = 61.       (2)\r\n" );
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document.write( "---> a = \"%2864%2F125%29%2Ab\"  --->  b - \"64%2F125\" = 61  --->  125b - 64b = 61*125  --->  61b = 61*125  --->  b = 125  --->  \"y%5E3\" = 125  --->  y = \"root%283%2C125%29\" = 5.\r\n" );
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document.write( "Then x = 4.\r\n" );
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