document.write( "Question 927832: 27. A number is between 30 and 40. If the number is divided by the sum of the digits, the quotient is 4. Find the number.
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Algebra.Com's Answer #563339 by ptfile(81)\"\" \"About 
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Let 10t+u = The Number
\n" ); document.write( " t+u = The Digits\r
\n" ); document.write( "\n" ); document.write( "If the number is divided by the sum of the digits, the quotient is 4.
\n" ); document.write( "10t+u
\n" ); document.write( "----- = 4
\n" ); document.write( " t+u\r
\n" ); document.write( "\n" ); document.write( "Multiply each side by t+u\r
\n" ); document.write( "\n" ); document.write( "10t+u=4(t+u)
\n" ); document.write( "10t+u=4t+4u
\n" ); document.write( " 6t=3u
\n" ); document.write( "Divide the whole equation by 3
\n" ); document.write( " 2t=u\r
\n" ); document.write( "\n" ); document.write( "A number is between 30 and 40.
\n" ); document.write( " 30 < 10t+2t < 40
\n" ); document.write( " 30 < 12t < 40
\n" ); document.write( "30/12 < t < 40/12
\n" ); document.write( " 2.5 < t < 3.33
\n" ); document.write( "t = 3
\n" ); document.write( "u = 6\r
\n" ); document.write( "\n" ); document.write( "Since the unit digit is twice the tens digit and should be in a range between
\n" ); document.write( "30 and 40, the only number applicable with this boundaries is 36.\r
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\n" ); document.write( "3+6=9
\n" ); document.write( "36/9=4\r
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