document.write( "Question 915066: Here is my question; i have tried multiple times to solve it and looked at other solutions. \r
\n" ); document.write( "\n" ); document.write( "The ones digit of a number is 1 more than twice the tens digit. If the digits are reversed, the new number is less than 3 times the original number. What is the original number? Thank you in advance for your help, and hopefully it comes fast.
\n" ); document.write( "

Algebra.Com's Answer #555431 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The number originally could be T*10+U, using U for the ones digit and T for the tens digit.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Translate the description.
\n" ); document.write( "\"U=1%2B2T\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Next part of the description needs care.
\n" ); document.write( "For \"U%2A10%2BT\", condition is that \"cross%28%28U%2A10%2BT%29=-3%2B%28T%2A10%2BU%29%29\". (Go to NEW INFORMATION, below here.)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You have two linear equations in the unknown variables, U and T.
\n" ); document.write( "Simplify the second part of the description, and then you could substitute for U from the first part of the description.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A FEW STEPS ---(NO. Go to NEW INFORMATION...)
\n" ); document.write( "\"10U%2BT=10T%2BU-3\"
\n" ); document.write( "\"10U-U%2BT-10T=-3\"
\n" ); document.write( "\"9U-9T=-3\"
\n" ); document.write( "\"9T-9U=3\"
\n" ); document.write( "\"3T-3U=1\"
\n" ); document.write( "you should be able to finish solving U and T.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "NEW INFORMATION:
\n" ); document.write( "\"...the new number is 8 less than 3 times the original number.\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Changes to second equation make it then, \"%28U%2A10%2BT%29=-8%2B3%28T%2A10%2BU%29\".
\n" ); document.write( "Either way, I had misunderstood part of the description.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The steps to start for simplifying this equation are straightforward:
\n" ); document.write( "\"10U%2BT=-8%2B3%2A10%2AT%2B3U\"
\n" ); document.write( "\"10U%2BT=30T%2B3U-8\"
\n" ); document.write( "\"7U-29T=-8\"
\n" ); document.write( "\"29T-7U=8\"
\n" ); document.write( "-
\n" ); document.write( "and your other equation from first part of the description, \"U=1%2B2T\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28system%28U=1%2B2T%2C29T-7U=8%29%29\"
\n" ); document.write( "This system should be uncomplicated to solve.
\n" ); document.write( "
\n" );