document.write( "Question 457222: A father is six times as old as his son. Two years ago he was eight times as old. Find the son's age. \n" ); document.write( "

Algebra.Com's Answer #313716 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+f+\"$ = Father's age now
\n" ); document.write( "Let $\"+s+\"$ = Son's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+f+=+6s+\"$
\n" ); document.write( "(2) $\"+f+-+2+=+8%2A%28s+-+2%29+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+f+-+2+=+8s+-+16+\"$
\n" ); document.write( "(2) $\"+8s+-+f+=+16+-+2+\"$
\n" ); document.write( "(2) $\"+8s+-+f+=+14+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+8s+-+6s+=+14+\"$
\n" ); document.write( "(2) $\"+2s+=+14+\"$
\n" ); document.write( "(2) $\"+s+=+7+\"$
\n" ); document.write( "The Son is 7 now
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+f+=+6s+\"$
\n" ); document.write( "(1) $\"+f+=+6%2A7+\"$
\n" ); document.write( "(1) $\"+f+=+42+\"$
\n" ); document.write( "(2) $\"+f+-+2+=+8%2A%28s+-+2%29+\"$
\n" ); document.write( "(2) $\"+42+-+2+=+8%2A%287+-+2%29+\"$
\n" ); document.write( "(2) $\"+40+=+8%2A5+\"$
\n" ); document.write( "(2) $\"+40+=+40+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );