document.write( "Question 150546: please help me determine the equation and solution to this word problem.\r
\n" ); document.write( "\n" ); document.write( "Twice the tens digit of a number is the same as the units digit.
\n" ); document.write( "The number is 6 greater than 5 times the units digit.
\n" ); document.write( "Find the number.
\n" ); document.write( "

Algebra.Com's Answer #110508 by mangopeeler07(462)\"\" \"About 
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t=tens digit
\n" ); document.write( "u=units digit
\n" ); document.write( "x=number we're looking for\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2t=u
\n" ); document.write( "x=5u+6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0%3Cu%3C10\"
\n" ); document.write( "Plug in a value from this range
\n" ); document.write( "try 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2t=1
\n" ); document.write( "t=1/2
\n" ); document.write( "not a digit\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "try 2
\n" ); document.write( "2t=2
\n" ); document.write( "t=1
\n" ); document.write( "that would make the number 12.
\n" ); document.write( "x=5u+6
\n" ); document.write( "x=5(2)+6
\n" ); document.write( "x=16, not 12\r
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\n" ); document.write( "\n" ); document.write( "try 3
\n" ); document.write( "2t=3
\n" ); document.write( "t=3/2
\n" ); document.write( "not a digit
\n" ); document.write( "*following this pattern, we see that the units is an even number, since odds give us non-digits.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "try 4
\n" ); document.write( "2t=4
\n" ); document.write( "t=2
\n" ); document.write( "that would make the number 24
\n" ); document.write( "x=5(4)+6
\n" ); document.write( "x=26, not 24\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "try 6
\n" ); document.write( "2t=6
\n" ); document.write( "t=3
\n" ); document.write( "That would make the number 36
\n" ); document.write( "x=5(6)+6
\n" ); document.write( "x=36
\n" ); document.write( "It works.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore, the number is 36.
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