document.write( "Question 1079257: The sum of Ann and Fred's age is 28. In seven years time Ann will be twice as old as Fred. How old are they now?
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document.write( "I need to solve this using simultaneous equations. \n" );
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Algebra.Com's Answer #693585 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! A= Ann's age \n" ); document.write( "F= Fred's age \n" ); document.write( "A + F = 28 [sum of their ages] \n" ); document.write( "A + 7 = 2(F + 7) [Ann will be twice Fred's age in 7 years] \n" ); document.write( "So we have two equations and two unknowns \n" ); document.write( "A + F = 28 -> A = 28 - F \n" ); document.write( "substitute this value into the other equation: \n" ); document.write( "28 - F + 7 = 2F + 14 \n" ); document.write( "Solve for F: \n" ); document.write( "3F = 21 -> F = 7 \n" ); document.write( "Therefore A = 21 \n" ); document.write( " |