document.write( "Question 118597: Find a 2 digit number whose tens digit is 3 less than the units digit. The orginal number is 5 more than 4 times the sum of the digit \n" ); document.write( "

Algebra.Com's Answer #86773 by stanbon(75887) $\"\"$ $\"About$

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Find a 2 digit number whose tens digit is 3 less than the units digit. The orginal number is 5 more than 4 times the sum of the digit
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\n" ); document.write( "Let the number be 10t+u where t is the tens digit and u is the units digit.
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\n" ); document.write( "EQUATIONS:
\n" ); document.write( "t = u-3
\n" ); document.write( "10t+u = 4(t+u)+5
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\n" ); document.write( "Rearranging:
\n" ); document.write( "t = u -3
\n" ); document.write( "6t-3u = 5
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\n" ); document.write( "Substitute to solve for \"u\":
\n" ); document.write( "6(u-3)-3u=5
\n" ); document.write( "6u-18-3u=5
\n" ); document.write( "3u=23
\n" ); document.write( "u=23/3
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\n" ); document.write( "Comment:
\n" ); document.write( "The condtions are not consistent; the value of u should be a whole number.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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