document.write( "Question 556152: A man is five times as old as his daughter. six years ago,the product of their age was 324.find their present age. \n" ); document.write( "
Algebra.Com's Answer #362057 by josmiceli(19441)\"\" \"About 
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Let \"+m+\" = man's age now
\n" ); document.write( "Let \"+d+\" = Daughter's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+m+=+5d+\"
\n" ); document.write( "(2) \"+%28+m+-+6+%29%2A%28+d+-+6+%29+=+324+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+%28+5d+-+6+%29%2A%28+d+-+6+%29+=+324+\"
\n" ); document.write( "(2) \"+5d%5E2+-+6d+-+30d+%2B+36+=+324+\"
\n" ); document.write( "(2) \"+5d%5E2+-+36d+-+288+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"d+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "\"+b+=+-36+\"
\n" ); document.write( "\"+c+=+-288+\"
\n" ); document.write( "\"+d+=+%28-%28-36%29+%2B-+sqrt%28+%28-36%29%5E2-4%2A5%2A%28-288%29+%29%29%2F%282%2A5%29+\"
\n" ); document.write( "\"+d+=+%28+36+%2B-+sqrt%28+1296+%2B+5760+%29%29%2F+10+\"
\n" ); document.write( "\"+d+=+%28+36+%2B-+sqrt%28+7056+%29%29%2F+10+\"
\n" ); document.write( "\"+d+=+%28+36+%2B-+84+%29%2F+10+\"
\n" ); document.write( "\"+d+=+%28+36+%2B+84+%29+%2F+10+\"
\n" ); document.write( "\"+d+=+120%2F10+\"
\n" ); document.write( "\"+d+=+12+\"
\n" ); document.write( "and,
\n" ); document.write( "(1) \"+m+=+5d+\"
\n" ); document.write( "(1) \"+m+=+5%2A12+\"
\n" ); document.write( "(1) \"+m+=+60+\"
\n" ); document.write( "The man is 60 and the daughter is 12
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+m+-+6+%29%2A%28+d+-+6+%29+=+324+\"
\n" ); document.write( "(2) \"+%28+60+-+6+%29%2A%28+12+-+6+%29+=+324+\"
\n" ); document.write( "(2) \"+54%2A6+=+324+\"
\n" ); document.write( "(2) \"+324+=+324+\"
\n" ); document.write( "OK\r
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