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)\"\" \"About 
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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.
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