document.write( "Question 1177267: Good Day, I need help regarding this age problem.\r
\n" ); document.write( "\n" ); document.write( "In 6 years, Jim will be 2/3 as old as Jane: and 8 years ago, he was 1/5 years old. Find their present age.\r
\n" ); document.write( "\n" ); document.write( "Jim?
\n" ); document.write( "Jane?
\n" ); document.write( "

Algebra.Com's Answer #805773 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Assuming the statement is supposed to be that Jim 8 years ago was 1/5 AS OLD AS Jane was then....

\n" ); document.write( "Given that Jim was 1/5 as old as Jane 8 years ago, I would make the algebra easier with...

\n" ); document.write( "Let x = Jim's age 8 years ago
\n" ); document.write( "then 5x = Jane's age 8 years ago

\n" ); document.write( "To get from 8 years ago to 6 years from now, we have to add 14 to each age:

\n" ); document.write( "x+14 = Jim's age 6 years from now
\n" ); document.write( "5x+14 = Jane's age 6 years from now

\n" ); document.write( "Jim's age 6 years from now will be 2/3 of Jane's age then:

\n" ); document.write( "\"x%2B14+=+%282%2F3%29%285x%2B14%29\"
\n" ); document.write( "\"3%28x%2B14%29+=+2%285x%2B14%29\"
\n" ); document.write( "\"3x%2B42+=+10x%2B28\"
\n" ); document.write( "\"14+=+7x\"
\n" ); document.write( "\"x+=+2\"

\n" ); document.write( "Their ages 8 years ago were
\n" ); document.write( "Jim = x = 2
\n" ); document.write( "Jane = 5x = 10

\n" ); document.write( "Their ages now are

\n" ); document.write( "ANSWERS:
\n" ); document.write( "Jim = 2+8 = 10
\n" ); document.write( "Jane = 10+8 = 18

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