document.write( "Question 196261: The tens digit is twice the units digit. The sum of the original number and the number represented when the digits are interchanged is 66. \n" ); document.write( "

Algebra.Com's Answer #147106 by stanbon(75887) $\"\"$ $\"About$

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The tens digit is twice the units digit. The sum of the original number and the number represented when the digits are interchanged is 66.
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\n" ); document.write( "Let the number be 10t + u ; t is the tens digit ; u is the units digit.
\n" ); document.write( "Equations:
\n" ); document.write( "t = 2u
\n" ); document.write( "10t+u + 10u+t = 66
\n" ); document.write( "------------------------
\n" ); document.write( "Simplify:
\n" ); document.write( "t = 2u
\n" ); document.write( "11t + 11u = 66
\n" ); document.write( "------------------------
\n" ); document.write( "Simplify:
\n" ); document.write( "t = 2u
\n" ); document.write( "t + u = 6
\n" ); document.write( "--------------------------------
\n" ); document.write( "Substitute:
\n" ); document.write( "2u + u = 6
\n" ); document.write( "3u = 6
\n" ); document.write( "u = 2 (units digit)
\n" ); document.write( "---
\n" ); document.write( "substitute into t = 2u to get:
\n" ); document.write( "t = 2u = 2*2 = 4 (tens digit)
\n" ); document.write( "--------------------------------
\n" ); document.write( "Original Number:
\n" ); document.write( "10t + u = 42
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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