document.write( "Question 736021: Judy is now three times as old as her niece, Jill. Seven years ago, she was five times as old as Jill was then. How old are Judy and Jill now? \n" ); document.write( "

Algebra.Com's Answer #449634 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j+\"$ = Judy's age now
\n" ); document.write( "Let $\"+n+\"$ = niece's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+j+=+3n+\"$
\n" ); document.write( "(2) $\"+j+-+7+=+5%2A%28+n+-+7+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+j+-+7+=+5n+-+35+\"$
\n" ); document.write( "(2) $\"+j+=+5n+-+28+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3n+=+5n+-+28+\"$
\n" ); document.write( "(2) $\"+2n+=+28+\"$
\n" ); document.write( "(2) $\"+n+=+14+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+j+=+3%2A14+\"$
\n" ); document.write( "(1) $\"+j+=+42+\"$
\n" ); document.write( "Judy is 42
\n" ); document.write( "Jill is 14
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+j+-+7+=+5%2A%28+n+-+7+%29+\"$
\n" ); document.write( "(2) $\"+42+-+7+=+5%2A%28+14+-+7+%29+\"$
\n" ); document.write( "(2) $\"+35+=+5%2A7+\"$
\n" ); document.write( "(2) $\"+35+=+35+\"$
\n" ); document.write( "OK \n" ); document.write( "

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