document.write( "Question 834516: Jeff is 5 years older than Maria. Bob is 3 years older than twice Maria's age. Jeff, Maria, and Bob's ages added together equal 42. How old is Jeff? \n" ); document.write( "
Algebra.Com's Answer #503186 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! ages represented by j, m and b, write an equation for each statement \n" ); document.write( ": \n" ); document.write( "Jeff is 5 years older than Maria. \n" ); document.write( "j = m+5 \n" ); document.write( " Bob is 3 years older than twice Maria's age. \n" ); document.write( "b = 2m+3 \n" ); document.write( "Jeff, Maria, and Bob's ages added together equal 42. \n" ); document.write( "j + m + b = 42 \n" ); document.write( "Replace j and b using the 1st two equations \n" ); document.write( "(m+5) + m + (2m+3) = 42 \n" ); document.write( "4m + 8 = 42 \n" ); document.write( "4m = 42 - 8 \n" ); document.write( "4m = 34 \n" ); document.write( "m = 34/4 \n" ); document.write( "m = 8.5 yrs is Marie \n" ); document.write( ": \n" ); document.write( "j = 8.5 + 5 \n" ); document.write( "j = 13.5 yrs is Jef \n" ); document.write( ": \n" ); document.write( "Usually get in integer solution to these, but this one is the exception.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |