document.write( "Question 1040041: five years ago mike was twice as old as Berto.The sum of their ages in 6 years will be 40 years.What is the present age of each? \n" ); document.write( "

Algebra.Com's Answer #654826 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Mike's age now
\n" ); document.write( "Let $\"+b+\"$ = Berto's age now
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+a+-+5+=+2%2A%28+b+-+5+%29+\"$
\n" ); document.write( "(2) $\"+a+%2B+6+%2B+b+%2B+6+=+40+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+a+-+5+=+2b+-+10+\"$
\n" ); document.write( "(1) $\"+-a+%2B+2b+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+b+=+28+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(2) $\"+a+%2B+b+=+28+\"$
\n" ); document.write( "(1) $\"+-a+%2B+2b+=+5+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+3b+=+33+\"$
\n" ); document.write( " $\"+b+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+b+=+28+\"$
\n" ); document.write( "(2) $\"+a+%2B+11+=+28+\"$
\n" ); document.write( "(2) $\"+a+=+17+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Mike is 17
\n" ); document.write( "Berto is 11
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+-+5+=+2%2A%28+b+-+5+%29+\"$
\n" ); document.write( "(1) $\"+17+-+5+=+2%2A%28+11+-+5+%29+\"$
\n" ); document.write( "(1) $\"+12+=+2%2A6+\"$
\n" ); document.write( "(1) $\"+12+=+12+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );