document.write( "Question 1148682: Margarette is twice as old as Isabela. If the age of Margarette is added fo the half the age of Isabela, the result is 60. What are their ages 7 years ago? (2 variables and full solution please, thanks!) \n" ); document.write( "
Algebra.Com's Answer #770032 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let m = the age of margarette. \n" ); document.write( "let i = the age of isabela. \n" ); document.write( "your equations are: \n" ); document.write( "m = 2i (age of margarette is twice the age of isabela). \n" ); document.write( "m + i/2 = 60 (age of margarette plus half the age of isabela = 60). \n" ); document.write( "in the second equation, replace m with 2i to get: \n" ); document.write( "2i + i/2 = 60 \n" ); document.write( "multiply both sides of this equation by 2 to get: \n" ); document.write( "4i + i = 120 \n" ); document.write( "combine like terms to get: \n" ); document.write( "5i = 120 \n" ); document.write( "solve for i to get: \n" ); document.write( "i = 120/5 = 24. \n" ); document.write( "since m = 2i, then m = 48 \n" ); document.write( "you have: \n" ); document.write( "m = 48 \n" ); document.write( "i = 24 \n" ); document.write( "m = 2 * i becomes 48 = 2 * 24 which becomes 48 = 48 which is true. \n" ); document.write( "m + i/2 = 60 becomes 48 + 24/2 = 60 which becomes 48 + 12 = 60 which becomes 60 = 60 which is true. \n" ); document.write( "numbers check out. \n" ); document.write( "margarette is 48 today. \n" ); document.write( "isabela is 24 today. \n" ); document.write( "7 years ago, margarette was 48 - 7 = 41 \n" ); document.write( "7 years ago, isabela was 24 - 7 = 17. \n" ); document.write( "that's your solution. \n" ); document.write( " |