document.write( "Question 935490: A number consists of two digits such that the digit in ten's place is less by 2 than the digit in the units place. Three times the number added to 6/7 times the number obtained by reserving the digits equals 108. the sum of the digits in the number is: \n" ); document.write( "
Algebra.Com's Answer #568715 by josmiceli(19441)\"\" \"About 
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Let the tens digit = \"+t+\"
\n" ); document.write( "Let the units digit = \"+u+\"
\n" ); document.write( "The value of the number is:
\n" ); document.write( "\"+10t+%2B+u+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+t+=+u+-+2+\"
\n" ); document.write( "(2) \"+3%2A%28+10t+%2B+u+%29+%2B+%28+6%2F7+%29%2A%28+10u+%2B+t+%29+=+108+\"
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(2) \"+30t+%2B+3u+%2B+%28+60%2F7+%29%2Au+%2B+%28+6%2F7+%29%2At+=+108+\"
\n" ); document.write( "(2) \"+210t+%2B+21u+%2B+60u+%2B+6t+=+108%2A7+\"
\n" ); document.write( "(2) \"+216t+%2B+81u+=+756+\"
\n" ); document.write( "(2) \"+24t+%2B+9u+=+84+\"
\n" ); document.write( "(2) \"+8t+%2B+3u+=+28+\"
\n" ); document.write( "and, by substitution:
\n" ); document.write( "(2) \"+8%2A%28+u+-+2+%29+%2B+3u+=+28+\"
\n" ); document.write( "(2) \"+8u+-+16+%2B+3u+=+28+\"
\n" ); document.write( "(2) \"+11u+=+44+\"
\n" ); document.write( "(2) \"+u+=+4+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+t+=+u+-+2+\"
\n" ); document.write( "(1) \"+t+=+4+-+2+\"
\n" ); document.write( "(1) \"+t+=+2+\"
\n" ); document.write( "-------------
\n" ); document.write( "The number is \"+24+\"
\n" ); document.write( "The sum of the digits is \"+6+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+3%2A%28+10t+%2B+u+%29+%2B+%28+6%2F7+%29%2A%28+10u+%2B+t+%29+=+108+\"
\n" ); document.write( "(2) \"+3%2A%28+10%2A2+%2B+4+%29+%2B+%28+6%2F7+%29%2A%28+10%2A4+%2B+2+%29+=+108+\"
\n" ); document.write( "(2) \"+3%2A24+%2B+%28+6%2F7+%29%2A42+=+108+\"
\n" ); document.write( "(2) \"+72+%2B+36+=+108+\"
\n" ); document.write( "(2) \"+108+=+108+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );