document.write( "Question 1046970: Bob is twice as old as Chuck and Susie is 10 years younger than Bob is the sum of their ages is 100 years, how old is susie \n" ); document.write( "

Algebra.Com's Answer #662466 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+b+\"$ = Bob's age
\n" ); document.write( " $\"+c+\"$ = Chuck's age
\n" ); document.write( " $\"+s+\"$ = Suzie's age
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+b+=+2c+\"$
\n" ); document.write( "(2) $\"+s+=+b+-+10+\"$
\n" ); document.write( "(3) $\"+b+%2B+c+%2B+s+=+100+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+c+=+%281%2F2%29%2Ab+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+b+%2B+%281%2F2%29%2Ab+%2B+b+-+10+=+100+\"$
\n" ); document.write( "(3) $\"+%285%2F2%29%2Ab+=+110+\"$
\n" ); document.write( "(3) $\"+b+=+%282%2F5%29%2A110+\"$
\n" ); document.write( "(3) $\"+b+=+44+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+c+=+%281%2F2%29%2Ab+\"$
\n" ); document.write( "(1) $\"+c+=+%281%2F2%29%2A44+\"$
\n" ); document.write( "(1) $\"+c+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+s+=+b+-+10+\"$
\n" ); document.write( "(2) $\"+s+=+44+-+10+\"$
\n" ); document.write( "(2) $\"+s+=+34+\"$
\n" ); document.write( "Suzie is 34
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+b+%2B+c+%2B+s+=+100+\"$
\n" ); document.write( "(3) $\"+44+%2B+22+%2B+34+=+100+\"$
\n" ); document.write( "(3) $\"+100+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+s+=+b+-+10+\"$
\n" ); document.write( "(2) $\"+34+=+44+-+10+\"$
\n" ); document.write( "(2) $\"+34+=+34+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );