document.write( "Question 624880: John is 5 years older than Mary. In 10 years, twice john's age decreased by Mary's age is 35, and john's age will be twice Mary's current age. Find their current ages now. \n" ); document.write( "

Algebra.Com's Answer #393133 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j+\"$ = John's age now
\n" ); document.write( "Let $\"+m+\"$ - Mary's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+j+=+m+%2B+5+\"$
\n" ); document.write( "(2) $\"+2%2A%28+j+%2B+10+%29+-+%28+m+%2B+10+%29+=+35+\"$
\n" ); document.write( "(3) $\"+j+%2B+10+=+2m+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(3) $\"+j+=+2m+-+10+\"$
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) $\"+2m+-+10+=+m+%2B+5+\"$
\n" ); document.write( "(1) $\"+m+=+15+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+j+=+m+%2B+5+\"$
\n" ); document.write( "(1) $\"+j+=+15+%2B+5+\"$
\n" ); document.write( "(1) $\"+j+=+20+\"$
\n" ); document.write( "------------
\n" ); document.write( "Now (2) must also be true
\n" ); document.write( "(2) $\"+2%2A%28+j+%2B+10+%29+-+%28+m+%2B+10+%29+=+35+\"$
\n" ); document.write( "(2) $\"+2%2A%28+20+%2B+10+%29+-+%28+15+%2B+10+%29+=+35+\"$
\n" ); document.write( "(2) $\"+2%2A30+-+25+=+35+\"$
\n" ); document.write( "(2) $\"+60+-+25+=+35+\"$
\n" ); document.write( "(2) $\"+35+=+35+\"$
\n" ); document.write( "OK
\n" ); document.write( "Currently, Mary is 15 and John is 20 \n" ); document.write( "

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