document.write( "Question 696512: The sum of ages of mother and her daughter is 50 years.After 20 years mothers age will be twice as that of a daughters age.Find their present ages \n" ); document.write( "
Algebra.Com's Answer #429132 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of ages of mother and her daughter is 50 years. \n" ); document.write( "After 20 years, mothers age will be twice as that of a daughters age. \n" ); document.write( "Find their present ages. \n" ); document.write( ": \n" ); document.write( "let m = Mom's present age \n" ); document.write( "let d = daughter's \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"The sum of ages of mother and her daughter is 50 years.\" \n" ); document.write( "m + d = 50 \n" ); document.write( ": \n" ); document.write( "\"After 20 years mothers age will be twice as that of a daughters age.\" \n" ); document.write( "m + 20 = 2(d + 20) \n" ); document.write( "m + 20 = 2d + 40 \n" ); document.write( "m - 2d = 40 - 20 \n" ); document.write( "m - 2d = 20 \n" ); document.write( ": \n" ); document.write( "Use elimination on these two equations \n" ); document.write( "m + d = 50 \n" ); document.write( "m -2d = 20 \n" ); document.write( "---------------subtraction eliminates m, find d \n" ); document.write( "3d = 30 \n" ); document.write( "d = 10 yrs is the daughter \n" ); document.write( ": \n" ); document.write( "I'll let you find Mom's age, check the solution in the last statement \n" ); document.write( " |