document.write( "Question 91662: A mother is 30 years older than her daughter. Five years ago she was four times as old as her daughter. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #66572 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation representing each statement \n" ); document.write( ": \n" ); document.write( "\"A mother is 30 years older than her daughter.\" \n" ); document.write( "M = D + 30 \n" ); document.write( ": \n" ); document.write( "\"Five years ago she was four times as old as her daughter.\" \n" ); document.write( "(M-5) = 4(D-5) \n" ); document.write( "Simplify: \n" ); document.write( "M - 5 = 4D - 20 \n" ); document.write( "M = 4D - 20 + 5 \n" ); document.write( "M = 4D - 15 \n" ); document.write( ": \n" ); document.write( " How old are they now? \n" ); document.write( "4D - 15 = M \n" ); document.write( "Substitute (D+30) for M in above equation, find D \n" ); document.write( "4D - 15 = D + 30 \n" ); document.write( "4D - D = 30 + 15 \n" ); document.write( "3D = 45 \n" ); document.write( "D = 45/3 \n" ); document.write( "D = 15 yrs old is the daughter \n" ); document.write( "M = 15 + 30 = 45 yrs old is the mom \n" ); document.write( "; \n" ); document.write( "Check solution using the statement: \n" ); document.write( " \"Five years ago she was four times as old as her daughter.\" \n" ); document.write( " 45 - 5 = 4(15-5) \n" ); document.write( ": \n" ); document.write( "Did I make this understandable to you? \n" ); document.write( " \n" ); document.write( " |