document.write( "Question 10788: the sum of Mrs.Black's age and her daughter's age is 56 years. In 8 years, Mrs. Black will be twice as old as her daughter. How old is her daughter now? \n" ); document.write( "
Algebra.Com's Answer #5666 by rapaljer(4671)\"\" \"About 
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Let x = age of the daughter now.
\n" ); document.write( "y = age of Mrs. Black now.\r
\n" ); document.write( "\n" ); document.write( "x+8 = daughter's age in 8 years
\n" ); document.write( "y+8 = Mrs. Black's age in 8 years\r
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\n" ); document.write( "\n" ); document.write( "Two equations are needed, since there are two unknowns:\r
\n" ); document.write( "\n" ); document.write( "Sum of the ages now is 56.
\n" ); document.write( "x+ y = 56\r
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\n" ); document.write( "\n" ); document.write( "Mrs. Black will be twice as old as her daughter.
\n" ); document.write( "y+8 = 2(x+8) Solve for y:
\n" ); document.write( "y +8 = 2x + 16
\n" ); document.write( "y+8-8 = 2x + 16-8
\n" ); document.write( "y = 2x + 8\r
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\n" ); document.write( "\n" ); document.write( "Substitute into
\n" ); document.write( "x+y = 56
\n" ); document.write( "x+(_____) = 56
\n" ); document.write( "x+ (2x +8)= 56
\n" ); document.write( "3x + 8=56
\n" ); document.write( "2x = 48
\n" ); document.write( "x= 16 Daughter's age now\r
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\n" ); document.write( "\n" ); document.write( "x + y = 56
\n" ); document.write( "16 + y = 56
\n" ); document.write( "y = 40 = Mother's age now\r
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\n" ); document.write( "\n" ); document.write( "In 8 years, daughter will be 24.
\n" ); document.write( "In 8 years, Mother will be 48. \r
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\n" ); document.write( "\n" ); document.write( "Check is that in 8 years, mother will be twice as old as daughter.\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC
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