document.write( "Question 71114: the sum of the digits of a two digit numeral is 8. The number with the digits interchanged is 7 times the tens digit of the original number. find the original number
\n" ); document.write( "(let u represent the units and t represent the tens digit. You need to solve two simultaneous equations for this one)\r
\n" ); document.write( "\n" ); document.write( "I honestly have no clue how to even start this one.. \n" ); document.write( "
Algebra.Com's Answer #50833 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the sum of the digits of a two digit numeral is 8. The number with the digits interchanged is 7 times the tens digit of the original number. find the original number
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\n" ); document.write( "COMMENT: Just like 23 means 10*2+3 , tu means 10*t+u
\n" ); document.write( "and ut means 10^u+t
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\n" ); document.write( "EQUATIONS:
\n" ); document.write( "1st: u+t = 8
\n" ); document.write( "2nd: 10u+t = 7t
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\n" ); document.write( "Solve 1st for t: t=8-u
\n" ); document.write( "Substitute into 2nd as follows:
\n" ); document.write( "10u+8-u = 7*(8-u)
\n" ); document.write( "9u+8 = 56-7u
\n" ); document.write( "16u = 48
\n" ); document.write( "u = 3
\n" ); document.write( "Then t=8-u=5\r
\n" ); document.write( "\n" ); document.write( "ORIGINAL NUMBER: 85
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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