document.write( "Question 207783: If 3 times Jane's age, in years, is equal to 8 times beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth? \n" ); document.write( "
Algebra.Com's Answer #157183 by Theo(13342)![]() ![]() You can put this solution on YOUR website! If 3 times Jane's age, in years, is equal to 8 times beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth? \n" ); document.write( "----- \n" ); document.write( "let J = jane's age \n" ); document.write( "let B = beth's age. \n" ); document.write( "3*J = 8*B \n" ); document.write( "J - B = 15 \n" ); document.write( "----- \n" ); document.write( "if J - B = 15, then J = B+15 \n" ); document.write( "your formula of 3*J = 8*B becomes 3*(B+15) = 8*B after you substitute B+15 for J. \n" ); document.write( "----- \n" ); document.write( "Solving for B gets you B = 9 \n" ); document.write( "This makes J = 9 + 15 = 24 \n" ); document.write( "3 * 24 = 72 \n" ); document.write( "8 * 9 = 72 \n" ); document.write( "your answer is: \n" ); document.write( "Jane is 24 years old and Beth is 9 years old. \n" ); document.write( "----- \n" ); document.write( " |