document.write( "Question 566626: The sum of the digits of a two-digit number is 8. The number with the digits interchanged is 14 more than 8 times the unit digit of the original.What is the number? \n" ); document.write( "

Algebra.Com's Answer #366296 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the tens digit
\n" ); document.write( "Let $\"+b+\"$ = the units digit
\n" ); document.write( "The number is $\"+10a+%2B+b+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+8+\"$
\n" ); document.write( "The number with the digits interchanged is
\n" ); document.write( " $\"+10b+%2B+a+\"$
\n" ); document.write( "(2) $\"+10b+%2B+a+=+8b+%2B+14+\"$
\n" ); document.write( "(2) $\"+a+%2B+10b+-+8b+=+14+\"$
\n" ); document.write( "(2) $\"+a+%2B+2b+=+14+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+a+%2B+2b+=+14+\"$
\n" ); document.write( "(1) $\"+-a+-+b+=+-8+\"$
\n" ); document.write( " $\"+b+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+8+\"$
\n" ); document.write( "(1) $\"+a+%2B+6+=+8+\"$
\n" ); document.write( "(1) $\"+a+=+8+-+6+\"$
\n" ); document.write( "(1) $\"+a+=+2+\"$
\n" ); document.write( "The number is 26
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+a+%2B+2b+=+14+\"$
\n" ); document.write( "(2) $\"+2+%2B+2%2A6+=+14+\"$
\n" ); document.write( "(2) $\"+2+%2B+12+=+14+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );