document.write( "Question 462031: Five years ago Jenny was exactly double the age of John. Five years from now John will be exactly 3/4 tha age of Jenny.Calcute both their ages. \n" ); document.write( "

Algebra.Com's Answer #316773 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Let

represent Jenny's age today. Let

represent John's age today. Then

is Jenny's age 5 years ago, and

is John's age 5 years ago. Likewise,

is Jenny's age 5 years from now, and

is John's age 5 years from now.\r
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\n" ); document.write( "\n" ); document.write( "We have to make assumptions about the conditions stated in the problem because there are ambiguities in the language. I'm going to re-write it expressing the assumptions and eliminating the ambiguities.\r
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\n" ); document.write( "\n" ); document.write( "Five years ago Jenny was exactly double the age of John at that time. Five years from now John will be exactly 3/4 the age that Jenny will be at that time. Calcute both their ages.\r
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\n" ); document.write( "\n" ); document.write( "Using the stated conditions, establish two equality relationships:\r
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\n" ); document.write( "\n" ); document.write( "Solve the system for

, Jenny's age now, and

, John's age now. Hint: Rearrange both equations into standard form, then solve by elimination using a multiplier of -2 on the first equation.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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