document.write( "Question 908972: The Age Of A Father Is Three Times the age of his son And two times the age of his daughter in eight years the age of the daughter will be twice the age of the son how old is the father and his children \n" ); document.write( "

Algebra.Com's Answer #551656 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let f = the age of the present age of the father
\n" ); document.write( "let s = the age of the son
\n" ); document.write( "let d = the age of the daughter
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement.
\n" ); document.write( ":
\n" ); document.write( "The Age Of A Father Is Three Times the age of his son,
\n" ); document.write( "f = 3s
\n" ); document.write( " and two times the age of his daughter.
\n" ); document.write( "f = 2d
\n" ); document.write( " In eight years the age of the daughter will be twice the age of the son.
\n" ); document.write( "d + 8 = 2(s+8)
\n" ); document.write( "d + 8 = 2s + 16
\n" ); document.write( "d = 2s + 16 - 8
\n" ); document.write( "d = 2s + 8
\n" ); document.write( ":
\n" ); document.write( "f = f therefore,from the 1st two equations we know
\n" ); document.write( "2d = 3s
\n" ); document.write( "d = $\"3%2F2\"$ s
\n" ); document.write( "d = 1.5s
\n" ); document.write( "Back to the last equation, find s, replace d with 1.5s
\n" ); document.write( "1.5s = 2s + 8
\n" ); document.write( "now this doesn't make sense, there is a major flaw in this problem.
\n" ); document.write( "Daughter is 1.5 time the age of the son now, cannot be twice as old in the future!\r
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