document.write( "Question 9537: Brenda and Trent are friends. Brenda is 24. The LCM of their age is 120 and the GCF of their age is 8. How old is Trent. \n" ); document.write( "
Algebra.Com's Answer #5209 by mathmaven53(29)![]() ![]() ![]() You can put this solution on YOUR website! Factor Brenda's age into 24 = 3*8\r \n" ); document.write( "\n" ); document.write( " Factor 120 into 120 = 8*3*5\r \n" ); document.write( "\n" ); document.write( "Trent can't be 120 since GCF of their ages would be 3*8 \n" ); document.write( "Trent can't be 8*3 since GCF of their ages would be 8*3 \n" ); document.write( "Let Trent be 8*5 = 40\r \n" ); document.write( "\n" ); document.write( " GCF(24,40) = 8\r \n" ); document.write( "\n" ); document.write( "24 = 3*8\r \n" ); document.write( "\n" ); document.write( "40 = 5*8\r \n" ); document.write( "\n" ); document.write( "5*24 = 3*5*8=120 \n" ); document.write( "3*40 = 3*5*8 =120\r \n" ); document.write( "\n" ); document.write( "LCM(24,40)=120\r \n" ); document.write( "\n" ); document.write( "So Trent is 40 \n" ); document.write( " |