document.write( "Question 981557: A mother's age is thrice that of her daughter's age. Six years ago, the mother's age was five times that of the daughter's age. What was the daughter's age 6 years ago ? \n" ); document.write( "
Algebra.Com's Answer #602533 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "A mother's age is thrice that of her daughter's age. \n" ); document.write( "M = 3D \n" ); document.write( "Six years ago, the mother's age was five times that of the daughter's age. \n" ); document.write( "M - 6 = 5(D - 6) \n" ); document.write( "Substitute 3D from first equation for M \n" ); document.write( "3D - 6 = 5(D - 6) \n" ); document.write( "Multiply out \n" ); document.write( "3D - 6 = 5D - 30 \n" ); document.write( "Collect like terms \n" ); document.write( "3D - 5D = -30 + 6 \n" ); document.write( "2D = -24 \n" ); document.write( "-D = -12 \n" ); document.write( "D = 12 \n" ); document.write( "Mother's current age = 36 \n" ); document.write( "Daughter's current age = 12 \n" ); document.write( "Daughter's age 6 years ago = 6 years old \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |