document.write( "Question 935619: John is now twice as old as Alexis, but six years ago he was five times as old as she was. How old is john now? \n" ); document.write( "

Algebra.Com's Answer #568888 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+j+\"$ = John's age now
\n" ); document.write( "Let $\"+a+\"$ = Alexis's age now
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+j+=+2a+\"$
\n" ); document.write( "(2) $\"+j+-+6+=+5%2A%28+a-+6+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2a+-+6+=+5%2A%28+a-6+%29+\"$
\n" ); document.write( "(2) $\"+2a+-+6+=+5a+-+30+\"$
\n" ); document.write( "(2) $\"+5a+-+2a+=+30+-+6+\"$
\n" ); document.write( "(2) $\"+3a+=+24+\"$
\n" ); document.write( "(2) $\"+a+=+8+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+j+=+2a+\"$
\n" ); document.write( "(1) $\"+j+=+16+\"$
\n" ); document.write( "John is 16 now
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+j+-+6+=+5%2A%28+a+-+6+%29+\"$
\n" ); document.write( "(2) $\"+16+-+6+=+5%2A%28+8+-+6+%29+\"$
\n" ); document.write( "(2) $\"+10+=+5%2A2+\"$
\n" ); document.write( "(2) $\"+10+=+10+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );