document.write( "Question 2183: 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 #892 by matthew_sessoms(39)\"\" \"About 
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Jane = j
\n" ); document.write( "Beth = b
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\n" ); document.write( "3j = 8b
\n" ); document.write( "j - b = 15
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\n" ); document.write( "We have here a \"system of equations.\" Lets solve for \"j\" in the second equation and then plug it in into the first equation...
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\n" ); document.write( "j = 15 + b
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\n" ); document.write( "3(15 + b) = 8b
\n" ); document.write( "45 + 3b = 8b
\n" ); document.write( "45 = 5b
\n" ); document.write( "9 = b
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\n" ); document.write( "Now, plug \"b\" into either of the original equations. I chosed the second equation because it looks easier.
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\n" ); document.write( "j - 9 = 15
\n" ); document.write( "j = 24
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\n" ); document.write( "Jane's age = 24yrs.
\n" ); document.write( "Beth's age = 9yrs.
\n" ); document.write( "MS \n" ); document.write( "
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