document.write( "Question 1147686: Hi\r
\n" ); document.write( "\n" ); document.write( "eight times the sum of the digits of a two digit number exceeds the number by 19. The tens digit is 3 more than the units digit. What is the number. \r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #769034 by Edwin McCravy(20067) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "u = units or ones digit\r\n" );
document.write( "t = tens digit\r\n" );
document.write( "10t+u = the number

eight times the sum of the digits of a two digit number
\n" ); document.write( "

8∙(t + u)

exceeds the number by 19.

\r\n" );
document.write( "8∙(t + u) = (10t + u) + 19\r\n" );
document.write( "  8t + 8u = 10t + u + 19\r\n" );
document.write( " -2t + 7u = 19

\n" ); document.write( "The tens digit is 3 more than the units digit.

\r\n" );
document.write( "t = u + 3

\n" ); document.write( "What Is the number.

\r\n" );
document.write( "We have this system of two equations and two unknowns:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You finish.  Solve that by substitution\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );