document.write( "Question 841078: A two-digit number is obtained either by subtracting 12 from 4 times the sum of the digits or by adding 6 to twice of the differnce of its digits.find the number?
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Algebra.Com's Answer #506670 by josmiceli(19441) $\"\"$ $\"About$

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Let the tens digit = $\"+t+\"$
\n" ); document.write( "Let the units digit = $\"+u+\"$
\n" ); document.write( " $\"+10t+%2B+1%2Au+=+4%2A%28+t+%2B+u+%29+-+12+\"$
\n" ); document.write( " $\"+10t+%2B+1%2Au+=+2%2A%28+u+-+t+%29+%2B+6+\"$
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\n" ); document.write( "I'm assuming that the units digit is
\n" ); document.write( "greater than the tens digit
\n" ); document.write( "By substitution, I can say:
\n" ); document.write( " $\"+4%2A%28+t+%2B+u+%29+=+2%2A%28+u+-+t+%29+%2B+6+\"$
\n" ); document.write( " $\"+4t+%2B+4u++=+2u+-+2t+%2B+6+\"$
\n" ); document.write( " $\"+6t+%2B+2u+=+6+\"$
\n" ); document.write( " $\"+3t+%2B+u+=+3+\"$
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\n" ); document.write( " $\"+t+=+1+\"$ and $\"+u+=+0+\"$ works
\n" ); document.write( "the number is 10
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\n" ); document.write( "check answer:
\n" ); document.write( " $\"+4%2A%28+t+%2B+u+%29+=+2%2A%28+u+-+t+%29+%2B+6+\"$
\n" ); document.write( " $\"+4%2A%28+1+%2B+0+%29+=+2%2A%28+0+-+1+%29+%2B+6+\"$
\n" ); document.write( " $\"+4+=+-2+%2B+6+\"$ \r
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