document.write( "Question 1130158: A man is 8 years older than his wife and 6 times as old as his son. When the son was born, the age of the wife was four-fifth of her husband. Find the age of the sun now. please use linear equation thanks \n" ); document.write( "

Algebra.Com's Answer #746840 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the man's age now
\n" ); document.write( "Let $\"+b+\"$ = his wife's age now
\n" ); document.write( "Let $\"+c+\"$ = his son's age now
\n" ); document.write( "--------------------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+8+\"$
\n" ); document.write( "(2) $\"+a+=+6c+\"$
\n" ); document.write( "(3) $\"+b+-+c+=+%284%2F5%29%2A%28+a+-+c+%29+\"$
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) $\"+b+=+a+-+8+\"$
\n" ); document.write( "(1) $\"+b+=+6c+-+8+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(3) $\"+6c+-+8+-+c+=+%284%2F5%29%2A%28+6c+-+c+%29+\"$
\n" ); document.write( "(3) $\"+5%2A%28+5c+-+8+%29+=+4%2A5c+\"$
\n" ); document.write( "(3) $\"+25c+-+40+=+20c+\"$
\n" ); document.write( "(3) $\"+5c+=+40+\"$
\n" ); document.write( "(3) $\"+c+=+8+\"$
\n" ); document.write( "The son is 8
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+=+6c+\"$
\n" ); document.write( "(2) $\"+a+=+48+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+6%2A8+-+8+\"$
\n" ); document.write( "(1) $\"+b+=+48+-+8+\"$
\n" ); document.write( "(1) $\"+b+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+b+-+c+=+%284%2F5%29%2A%28+a+-+c+%29+\"$
\n" ); document.write( "(3) $\"+40+-+8+=+%284%2F5%29%2A%28+48+-+8+%29+\"$
\n" ); document.write( "(3) $\"+32+=+%284%2F5%29%2A40+\"$
\n" ); document.write( "(3) $\"+32+=+32+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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