document.write( "Question 879160: One – third of a number of two digits is greater than one – fourth
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Algebra.Com's Answer #530548 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "number of two digits = x\r\n" );
document.write( "one-third of that number = \"expr%281%2F3%29x\"\r\n" );
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document.write( "successor of that number = x+1\r\n" );
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document.write( "one-fourth of successor of that number = \"expr%281%2F4%29%28x%2B1%29\"\r\n" );
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document.write( "One – third of a number of two digits is greater than one – fourth\r\n" );
document.write( "of its successor by 1 . Find the number .\r\n" );
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document.write( "Replace the underlined words by \"expr%281%2F3%29x\"\r\n" );
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document.write( "\"expr%281%2F3%29x\" is greater than one – fourth of its successor by 1 . Find the number .\r\n" );
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document.write( "Replace the underlined words by \"expr%281%2F4%29%28x%2B1%29\"\r\n" );
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document.write( "\"expr%281%2F3%29x\" is greater than \"expr%281%2F4%29%28x%2B1%29\" by 1 . Find the number .\r\n" );
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document.write( "Mentally translate this by reasoning\r\n" );
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document.write( "If a first thing is greater than a second thing by ONE, that means that the\r\n" );
document.write( "the first thing equals the second thing PLUS ONE.  So\r\n" );
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document.write( "\"expr%281%2F3%29x\"\"%22%22=%22%22\"\"expr%281%2F4%29%28x%2B1%29%2B1\"\r\n" );
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document.write( "Multiply through by \"red%2812%29\"\r\n" );
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document.write( "\"red%2812%29expr%281%2F3%29x\"\"%22%22=%22%22\"\"red%2812%29expr%281%2F4%29%28x%2B1%29%2Bred%2812%291\"\r\n" );
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document.write( "4x = 3(x + 1) + 12\r\n" );
document.write( "4x = 3x + 3 + 12\r\n" );
document.write( "4x = 3x + 15\r\n" );
document.write( " x = 15\r\n" );
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document.write( "Turns out that they didn't need to tell us that it has two digits.\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "One – third of 15, which is 5, is greater than one – fourth\r\n" );
document.write( "of (15's) successor 16, (which is 4), by 1.  It's true that\r\n" );
document.write( "5 is indeed greater than 4 by 1, so we have the correct \r\n" );
document.write( "answer, 15.\r\n" );
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document.write( "Edwin
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