document.write( "Question 996950: sum of present ages of a mother and daughter is 47. After 5 years, mother will be 6 more than 2 times her daughter's age. Find their present ages.\r
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Algebra.Com's Answer #615244 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the mother's age now, x. The daughter's age is y. \n" ); document.write( "Thus x + y = 47, and x = 47 - y. \n" ); document.write( "In five years, \n" ); document.write( "x + 5 = 6 + 2(y + 5) or \n" ); document.write( "x + 5 = 6 + 2y + 10 \n" ); document.write( "x + 5 = 2y + 16 \n" ); document.write( "x = 2y + 11 \n" ); document.write( "Substituting in, we get \n" ); document.write( "47 - y = 2y + 11 \n" ); document.write( "36 = 3y \n" ); document.write( "y = 12 \n" ); document.write( "x = 35 \n" ); document.write( " |