document.write( "Question 1164421: 14 years from now Miguel will be twice as old as Mary.
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document.write( "The current sum of the ages of Miguel and Mary is 50.
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document.write( "How old is Mary right now? \n" );
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Algebra.Com's Answer #788820 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi, \n" ); document.write( "Make Miguel = x \n" ); document.write( "Mary = y \n" ); document.write( "x + 14 = 2(y + 14)......Eq(1) \n" ); document.write( "x + y = 50........Eq (2) \n" ); document.write( "If x + y = 50 \n" ); document.write( " x = 50 - y \n" ); document.write( "Substitute x = 50 - y in Eq (1) \n" ); document.write( "x + 14 = 2y + 28...Eq(1) \n" ); document.write( "(50 - y) + 14 = 2y + 28 \n" ); document.write( "Collect like terms \n" ); document.write( "- y + (-2y) = 28 - 50 - 14 \n" ); document.write( "-3y = - 36 \n" ); document.write( "Multiply both sides by -1 \n" ); document.write( "3x = 36 \n" ); document.write( "x = 12 \n" ); document.write( "Substitute x = 12 into Eq (2) \n" ); document.write( "x + y = 50 \n" ); document.write( "12 + y = 50 \n" ); document.write( "y = 50 - 12 \n" ); document.write( "y = 38 \n" ); document.write( "Mary's current age is 38 yrs. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |