document.write( "Question 1087117: Celia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find their ages?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #701401 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+c+\"$ = Celia's age now
\n" ); document.write( "Let $\"+j+\"$ = Jacque's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+c+=+2j+\"$
\n" ); document.write( "(2) $\"+c+-+9+=+6%2A%28+j+-+9+%29+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+c+-+9+=+6j+-+54+\"$
\n" ); document.write( "(2) $\"+6j+-+c+=+45+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+6j+-+2j+=+45+\"$
\n" ); document.write( "(2) $\"+4j+=+45+\"$
\n" ); document.write( "(2) $\"+j+=+11.25+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+c+=+2j+\"$
\n" ); document.write( "(1) $\"+c+=+2%2A11.25+\"$
\n" ); document.write( "(1) $\"+c+=+22.5+\"$
\n" ); document.write( "Jacque is 11 and 3 months
\n" ); document.write( "Celia is 22 and 6 months
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+c+-+9+=+6%2A%28+j+-+9+%29+\"$
\n" ); document.write( "(2) $\"+22.5+-+9+=+6%2A%28+11.25+-+9+%29+\"$
\n" ); document.write( "(2) $\"+13.5+=+6%2A2.25+\"$
\n" ); document.write( "(2) $\"+13.5+=+13.5+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );