document.write( "Question 712674: the sume of a three-digit number is 11. The tens digit is three times the hundreds digit and two times the units digit. find the number. \n" ); document.write( "

Algebra.Com's Answer #438122 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the hundreds digit
\n" ); document.write( "Let $\"+b+\"$ = the tens digit
\n" ); document.write( "Let $\"+c+\"$ = the units digit
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+b+%2B+c+=+11+\"$
\n" ); document.write( "(2) $\"+b+=+3a+\"$
\n" ); document.write( "(3) $\"+b+=+2c+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(2) $\"+a+=+b%2F3+\"$
\n" ); document.write( "(3) $\"+c=+b%2F2+\"$
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"a+%2B+b+%2B+c+=+11+\"$
\n" ); document.write( "(1) $\"+b%2F3+%2B+b+%2B+b%2F2+=+11+\"$
\n" ); document.write( "Multiply both sides by $\"+6+\"$
\n" ); document.write( "(1) $\"+2b+%2B+6b+%2B+3b+=+66+\"$
\n" ); document.write( "(1) $\"+11b+=+66+\"$
\n" ); document.write( "(1) $\"+b+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+b%2F3+\"$
\n" ); document.write( "(2) $\"+a+=+6%2F3+\"$
\n" ); document.write( "(2) $\"+a+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c=+b%2F2+\"$
\n" ); document.write( "(3) $\"+c=+6%2F2+\"$
\n" ); document.write( "(3) $\"+c+=+3+\"$
\n" ); document.write( "--------------
\n" ); document.write( "The number is 263\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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