document.write( "Question 993852: Five years from now, two times the age of Ms.Emmy will be eight years less than four times the age of her niece three years ago. If Ms.Emmy is 15 years older than her niece, what are their present ages? \n" ); document.write( "
Algebra.Com's Answer #613164 by ankor@dixie-net.com(22740)\"\" \"About 
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let e = Emmy's age
\n" ); document.write( "let n = Niece's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement, simplify
\n" ); document.write( ":
\n" ); document.write( "Five years from now, two times the age of Ms.Emmy will be eight years less than four times the age of her niece three years ago.
\n" ); document.write( "2(e+5) = 4(n-3) - 8
\n" ); document.write( "2e + 10 = 4n - 12 - 8
\n" ); document.write( "2e = 4n - 20 - 10
\n" ); document.write( "2e = 4n - 30
\n" ); document.write( ":
\n" ); document.write( " If Ms.Emmy is 15 years older than her niece, what are their present ages?
\n" ); document.write( "e = n + 15
\n" ); document.write( ":
\n" ); document.write( "Replace e with (n+15) in the 1st equation
\n" ); document.write( "2(n+15) = 4n - 30
\n" ); document.write( "2n + 30 = 4n - 30
\n" ); document.write( "30 + 30 = 4n - 2n
\n" ); document.write( "60 = 2n
\n" ); document.write( "n = 60/2
\n" ); document.write( "n = 30 yrs is the niece
\n" ); document.write( "then
\n" ); document.write( "30 + 15 = 45 yrs is Emmy's age
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check this in the 1st statement
\n" ); document.write( "\"Five years from now, two times the age of Ms.Emmy will be eight years less than four times the age of her niece three years ago.
\n" ); document.write( "2(45 + 5) = 4(30 - 3) - 8
\n" ); document.write( "2(50) = 4(27) - 8
\n" ); document.write( "100 = 108 - 8 \n" ); document.write( "
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