document.write( "Question 1199605: The sun of Anna's age and Ben's age is 40.Two years ago, Anna was thrice as Ben. Find the Anna's age \n" ); document.write( "
Algebra.Com's Answer #833549 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "You have received two responses, both showing a typical solution using two variables, and setting up the problem using the information exactly as given.

\n" ); document.write( "Both solution methods are fine; however, the amount of work required to reach the final answer can be a lot less if you take the time to analyze the given information and set up the problem for solving using a single variable.

\n" ); document.write( "Here is how I would set up and solve the problem.
\n" ); document.write( "let x = Ben's age 2 years ago
\n" ); document.write( "then 3x = Anna's age 2 years ago

\n" ); document.write( "The sum of their ages now is 40:

\n" ); document.write( "(x+2)+(3x+2) = 40
\n" ); document.write( "4x+4 = 40
\n" ); document.write( "4x = 36
\n" ); document.write( "x = 9

\n" ); document.write( "ANSWER: Anna's age is 3x+2 = 29

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