document.write( "Question 128548: The tens digit of a certain two digit number exceeds the units digit by 3. The sum of the digits is 1/7 of the number. Find the number. \n" ); document.write( "

Algebra.Com's Answer #94057 by stanbon(75887) $\"\"$ $\"About$

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The tens digit of a certain two digit number exceeds the units digit by 3. The sum of the digits is 1/7 of the number. Find the number.
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\n" ); document.write( "Let the number be 10t+u where t is the tens digit and u is the units digit.
\n" ); document.write( "EQUATION:
\n" ); document.write( "t=u+3
\n" ); document.write( "t+u = (1/7)(10t+u)
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\n" ); document.write( "Rearrange:
\n" ); document.write( "t = u+3
\n" ); document.write( "7t + 7u = 10t+u
\n" ); document.write( "3t=6u
\n" ); document.write( "t = 2u
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\n" ); document.write( "2u = u+3
\n" ); document.write( "u = 3 (the units digit)
\n" ); document.write( "---------
\n" ); document.write( "t = u+3 = 3+3 = 6 (the tens digit)
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\n" ); document.write( "Number = 63
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\n" ); document.write( "Cheers,
\n" ); document.write( "San H.\r
\n" ); document.write( "
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\n" ); document.write( "\n" ); document.write( "-------------
\n" ); document.write( "Substitute to solve for \"u\":
\n" ); document.write( "7(u+3)-6u = 0
\n" ); document.write( "u = \n" ); document.write( "

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