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)![]() ![]() ![]() You can put this solution on YOUR website! 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( " \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 \n" ); document.write( " \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. \n" ); document.write( " |