document.write( "Question 1027476: Twice the sum of Jerry and David's age is equivalent to ten years less than three times Frank's age. David is 9 years younger than Jerry and Frank is 5 years older than Jerry. Write and solve an algebraic equation to find the age of all three men. \n" ); document.write( "
Algebra.Com's Answer #642680 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "J=Jerry's age; D=David's age=J-9; F=Frank's age=J+5 \n" ); document.write( ". \n" ); document.write( "2(J+D)=3F-10 \n" ); document.write( "2(J+(J-9))=3(J+5)-10 \n" ); document.write( "2(2J-9)=3J+15-10 \n" ); document.write( "4J-18=3J+5 \n" ); document.write( "J=23 \n" ); document.write( ". \n" ); document.write( "D=J-9=23-9=14 \n" ); document.write( ". \n" ); document.write( "F=J+5=23+5=28 \n" ); document.write( ". \n" ); document.write( "ANSWER: Jerry is 23, David is 14, and Frank is 28. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "2(J+D)=3F-10 \n" ); document.write( "2(23+14)=3(28)-10 \n" ); document.write( "2(37)=84-10 \n" ); document.write( "74=74 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |