document.write( "Question 1163926: Find a two digit number such that three times the tens digit is 2 less than
\n" ); document.write( "twice the units digits and twice the number is 20 greater than the number
\n" ); document.write( "obtained by reversing the digits \n" ); document.write( "

Algebra.Com's Answer #788264 by MathTherapy(10555) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find a two digit number such that three times the tens digit is 2 less than
\n" ); document.write( "twice the units digits and twice the number is 20 greater than the number
\n" ); document.write( "obtained by reversing the digits
\n" ); document.write( "

Let tens and units digits, be T and U, respectively\r\n" );
document.write( "Then we get:            \r\n" );
document.write( "                                                            12T - 8U = - 8 ------- Multiplying eq (i) by 4 ------ eq (iii) \r\n" );
document.write( "                                                             7T = 28 ------ Subtracting eq (iii) from eq (ii)\r\n" );
document.write( "                                                             Tens digit, or \r\n" );
document.write( "\r\n" );
document.write( "3(4)  -  2U = - 2 ------- Substituting 4 for T in eq (i)\r\n" );
document.write( "12  -  2U = - 2\r\n" );
document.write( "-  2U = - 14\r\n" );
document.write( "Units digit, or \r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "

\n" );