document.write( "Question 528627: Five years ago Ang was half as old as paula. Now he is 3/5 as old as paula. What is their current ages? \n" ); document.write( "
Algebra.Com's Answer #349352 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! A = Ang's age \n" ); document.write( "P = Paula's age \n" ); document.write( ". \n" ); document.write( "5 years ago \n" ); document.write( "A-5 = Ang's age \n" ); document.write( "P-5 = Paula's age \n" ); document.write( ". \n" ); document.write( "A-5 = (1/2)*(P-5) \n" ); document.write( "so \n" ); document.write( "A = (1/2)(P-5) +5 \n" ); document.write( ". \n" ); document.write( "A = (3/5)*P \n" ); document.write( ". \n" ); document.write( "A=A \n" ); document.write( "so \n" ); document.write( "(1/2)(P-5) +5 = (3/5)*P \n" ); document.write( ". \n" ); document.write( "Multiply both sides by 10 to eliminate the fractions \n" ); document.write( ". \n" ); document.write( "5(P-5) +50 = 6*P \n" ); document.write( ". \n" ); document.write( "5P -25 +50 = 6P \n" ); document.write( "25 = P \n" ); document.write( "P = 25 \n" ); document.write( ". \n" ); document.write( "A = 3/5*25 \n" ); document.write( "A = 15 \n" ); document.write( ". \n" ); document.write( "Answer: Ang is 15, and Paula is 25. \n" ); document.write( ". \n" ); document.write( "Check how the relationship of their ages 5 years ago. \n" ); document.write( "15-5 = 10 = Ang's age then \n" ); document.write( "25-5 = 20 = Paula' age then \n" ); document.write( "Ang's age then was 1/2 Paula's age then. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |