document.write( "Question 581203: A girl is now one-fourth as old as her father, and in seven years she will be one-half as old as her father was twelve years ago. Find their present ages.\r
\n" ); document.write( "\n" ); document.write( "The father's present age is .
\n" ); document.write( "The daughter's present age is . \r
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Algebra.Com's Answer #371614 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
let d = daughter's present age
\n" ); document.write( "let f = father's present age
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\n" ); document.write( "write an equation for each statement:
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\n" ); document.write( "\"A girl is now one-fourth as old as her father,
\n" ); document.write( "d = \"1%2F4\"f
\n" ); document.write( "or
\n" ); document.write( "f = 4d
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\n" ); document.write( "\"in seven years she will be one-half as old as her father was twelve years ago.\"
\n" ); document.write( "d + 7 = \"1%2F2\"(f-12)
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( "2(d+7) = f - 12
\n" ); document.write( "2d + 14 = f - 12
\n" ); document.write( "2d = f - 12 - 14
\n" ); document.write( "2d = f - 26
\n" ); document.write( "From the 1st statement, replace f with 4d
\n" ); document.write( "2d = 4d - 26
\n" ); document.write( "26 = 4d - 2d
\n" ); document.write( "26 = 2d
\n" ); document.write( "d = 13 yrs is daughter's age
\n" ); document.write( "then
\n" ); document.write( "4(13) = 52 yrs is father's present age
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\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"in seven years she will be one-half as old as her father was twelve years ago.\"
\n" ); document.write( "13 + 7 = \"1%2F2\"(52-12)
\n" ); document.write( "20 = \"1%2F2\"(40)\r
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