document.write( "Question 1194063: Carla is five years older than her sister Julie. The product of their ages is 234. How old is Julie? \n" ); document.write( "
Algebra.Com's Answer #826157 by Theo(13342)\"\" \"About 
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c = carla's age.
\n" ); document.write( "j = julie's age.
\n" ); document.write( "c = j + 5
\n" ); document.write( "c * j = 234
\n" ); document.write( "replace c with j + 5 to get:
\n" ); document.write( "(j + 5) * j = 234
\n" ); document.write( "simplify to get:
\n" ); document.write( "j^2 + 5j = 234
\n" ); document.write( "subtract 234 from both sides to get:
\n" ); document.write( "j^2 + 5j - 234 = 0
\n" ); document.write( "factor this quadratic equation to get (j + 18) * (j-13) = 0
\n" ); document.write( "solve for j to get:
\n" ); document.write( "j = -18 or j = 13
\n" ); document.write( "j can't be negative, so j = 13
\n" ); document.write( "c = j + 5 = 18
\n" ); document.write( "carla is 18 years old
\n" ); document.write( "julie is 13.
\n" ); document.write( "13 * 18 = 234
\n" ); document.write( "solution is confirmed to be good.\r
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