document.write( "Question 177817: Rick is 5 times the age of Mike, who is half the age of Ed. Fred is double the ages of Mike and Ed combined. Daniel is 79 years younger than Rick. All thier ages equal 271. What is the age of Daniel. \n" ); document.write( "
Algebra.Com's Answer #132866 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "ANOTHER WAY \r \n" ); document.write( "\n" ); document.write( "Let x=Ed's age \n" ); document.write( "Then x/2 = Mike's age \n" ); document.write( "And 5*(x/2)=Rick's age\r \n" ); document.write( "\n" ); document.write( "And Fred's age =2((x/2) + x)=2*(3x/2)=6x/2=3x \n" ); document.write( "Daniel's age=5*(x/2)-79 \n" ); document.write( "So: \n" ); document.write( "x+(x/2)+5*(x/2)+3x +5(x/2)-79=271 simplify some \n" ); document.write( "x+(x/2)+(5x/2)+3x+(5x/2)-79=271 add 79 to each side and simplify some more \n" ); document.write( "(2x/2)+(x/2)+(5x/2)+(6x/2)+(5x/2)=271+79 collect like terms\r \n" ); document.write( "\n" ); document.write( "(19x/2)=350 multiply each side by 2 \n" ); document.write( "19x=700 divide each side by 19 \n" ); document.write( "x=36.8 \n" ); document.write( "So, Daniel's age=5*(36.8/2)-79=184/2-79=92-79=13 years old\r \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |