document.write( "Question 602834: The sum of the digits of a two-digit number is 6. When the digits are reversed, the resulting number is 6 greater than 3 times the original number. Find the original number. \n" ); document.write( "

Algebra.Com's Answer #380422 by stanbon(75887) $\"\"$ $\"About$

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The sum of the digits of a two-digit number is 6. When the digits are reversed, the resulting number is 6 greater than 3 times the original number. Find the original number.
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\n" ); document.write( "Original Number: 10t+u
\n" ); document.write( "---
\n" ); document.write( "Equations:
\n" ); document.write( "t + u = 6
\n" ); document.write( "10u+t = 3(10t+u)+6
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\n" ); document.write( "Simplify:
\n" ); document.write( "10u+t = 30t+3u+6
\n" ); document.write( "7u-29t = 6
\n" ); document.write( "-------
\n" ); document.write( "Substitute for \"u\" and solve for \"t\":
\n" ); document.write( "7(6-t)-29t = 6
\n" ); document.write( "42-36t = 6
\n" ); document.write( "36t = 36
\n" ); document.write( "t = 1
\n" ); document.write( "---
\n" ); document.write( "u = 6-t = 5
\n" ); document.write( "--
\n" ); document.write( "Original Number: 15
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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