document.write( "Question 1148599: Gary is X years old today. Two years ago, his grandfather was three times older than Gary at that time. A The age difference of Gary and his grandfather then was 48 years write a linear equation to represent this age difference. B find Gary's grandfather's age today \n" ); document.write( "
Algebra.Com's Answer #769948 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement, simplify \n" ); document.write( ": \n" ); document.write( "Gary is X years old today. \n" ); document.write( "Let x = Gary's present age \n" ); document.write( "Let g = grandfathers age \n" ); document.write( " Two years ago, his grandfather was three times older than Gary at that time. \n" ); document.write( "g - 2 = 3(x - 2) \n" ); document.write( "g - 2 = 3x - 6 \n" ); document.write( "g = 3x - 6 + 2 \n" ); document.write( "g = 3x - 4 \n" ); document.write( "A The age difference of Gary and his grandfather then was 48 years \n" ); document.write( " write a linear equation to represent this age difference. \n" ); document.write( "g - x = 48 \n" ); document.write( "x = g - 48 \n" ); document.write( "B find Gary's grandfather's age today \n" ); document.write( "replace x with (g-48) in the first simplified equation \n" ); document.write( "g = 3(g-48) - 4 \n" ); document.write( "g = 3g - 144 - 4 \n" ); document.write( "g - 3g = -148 \n" ); document.write( "g = -148/-2 \n" ); document.write( "g = +74 yrs is grandfather's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this out. Gary's age 74 - 48 = 26 \n" ); document.write( "\"Two years ago, his grandfather was three times older than Gary at that time.\" \n" ); document.write( "74 - 2 = 3(26 - 2) \n" ); document.write( "72 = 3(24) \n" ); document.write( " |