document.write( "Question 121962This question is from textbook Fundmentals of Alegebraic Modeling
\n" );
document.write( ": Renee is 26 years younger than her mother. The sum of their ages is 54. How old is Renee's mother? 54 years old
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #89617 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Renee is 26 years younger than her mother.\" \n" ); document.write( "Let m = mom's age \n" ); document.write( "then \n" ); document.write( "r = (m-26) \n" ); document.write( ": \n" ); document.write( "\"The sum of their ages is 54.\" \n" ); document.write( " m + r = 54 \n" ); document.write( ": \n" ); document.write( " How old is Renee's mother? \n" ); document.write( "Substitute (m-26) in the above equation \n" ); document.write( "m + (m-26) = 54 \n" ); document.write( "2m - 26 = 54 \n" ); document.write( "Add 26 to both sides: \n" ); document.write( "2m = 54 + 26 \n" ); document.write( "2m = 80 \n" ); document.write( "m = 80/2 \n" ); document.write( "m = 40 yrs is Mom's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solution: \n" ); document.write( "that would make r = 14 \n" ); document.write( "40 + 14 = 54\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |