document.write( "Question 197870: The ten's digit of a two digit number is 3 more than the unit's digit. The number is eight more than six times the sum of the digits. Find the number. \n" ); document.write( "

Algebra.Com's Answer #148397 by josmiceli(19441) $\"\"$ $\"About$

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Call the tens digit $\"a\"$
\n" ); document.write( "Call the units digit $\"b\"$
\n" ); document.write( "The number is $\"10a+%2B+b\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+=+b+%2B+3\"$
\n" ); document.write( "(2) $\"10a+%2B+b+=+6%2A%28a+%2B+b%29+%2B+8\"$
\n" ); document.write( "Substitute (1) in (2)
\n" ); document.write( "(2) $\"10%2A%28b+%2B+3%29+%2B+b+=+6%2A%28b+%2B+3+%2B+b%29+%2B+8\"$
\n" ); document.write( " $\"10b+%2B+30+%2B+b+=+6b+%2B+18+%2B+6b+%2B+8\"$
\n" ); document.write( " $\"11b+%2B+30+=+12b+%2B+26\"$
\n" ); document.write( " $\"b+=+4\"$
\n" ); document.write( "And, from (1)
\n" ); document.write( " $\"a+=+4+%2B+3\"$
\n" ); document.write( " $\"a+=+7\"$
\n" ); document.write( "The number is 74
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"10a+%2B+b+=+6%2A%28a+%2B+b%29+%2B+8\"$
\n" ); document.write( " $\"10%2A7+%2B+4+=+6%2A%287+%2B+4%29+%2B+8\"$
\n" ); document.write( " $\"74+=+6%2A11+%2B+8\"$
\n" ); document.write( " $\"74+=+74\"$ \n" ); document.write( "

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