document.write( "Question 562299: a movie star unwilling to give his age posed the following riddle\r
\n" ); document.write( "\n" ); document.write( "seven years ago i was eleven times as old as my daughter. now i am 4 times as old as she is. how old is the star?
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Algebra.Com's Answer #364535 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = Star's age now
\n" ); document.write( "Let \"+d+\" = Daughter's age now
\n" ); document.write( "\"+s+-+7+\" = Star's age 7 yrs ago
\n" ); document.write( "\"+d+-+7+\" = Daughter's age 7 yrs ago
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"+s+-+7+=+11%2A%28+d+-+7+%29+\"
\n" ); document.write( "(2) \"+s+=+4d+\"
\n" ); document.write( "-------------
\n" ); document.write( "(2) \"+d+=+s%2F4+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "(1) \"+s+-+7+=+11%2A%28+s%2F4+-+7+%29+\"
\n" ); document.write( "(1) \"+s+-+7+=+%2811%2F4%29%2As+-+77+\"
\n" ); document.write( "(1) \"+4s+-+28+=+11s+-+308+\"
\n" ); document.write( "(1) \"+11s+-+4s+=+308+-+28+\"
\n" ); document.write( "(1) \"+7s+=+280+\"
\n" ); document.write( "(1) \"+s+=+40+\"
\n" ); document.write( "The star is 40
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+s%2F4+\"
\n" ); document.write( "(2) \"+d+=+40%2F4+\"
\n" ); document.write( "(2) \"+d+=+10+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+-+7+=+11%2A%28+d+-+7+%29+\"
\n" ); document.write( "(1) \"+40+-+7+=+11%2A%28+d+-+7+%29+\"
\n" ); document.write( "(1) \"+33+=+11d+-+77+\"
\n" ); document.write( "(1) \"+11d+=+77+%2B+33+\"
\n" ); document.write( "(1) \"+11d+=+110+\"
\n" ); document.write( "(1) \"+d+=+10+\"
\n" ); document.write( "OK
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