document.write( "Question 271038: Fred is 4 years older than barney, five years ago the sum of their age was 48, how old are they now, please use F for fred and B for barney, thank you \n" ); document.write( "

Algebra.Com's Answer #198455 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f\"$ = Fred's age now
\n" ); document.write( " $\"b\"$ = Barney's age now
\n" ); document.write( " $\"f+-+5\"$ = Fred's age 5 years ago
\n" ); document.write( " $\"b+-+5\"$ = Barney's age 5 years ago
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"f+=+b+%2B+4\"$
\n" ); document.write( "(2) $\"%28f+-+5%29+%2B+%28b+-+5%29+=+48\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Substitute (1) in (2)
\n" ); document.write( "(2) $\"%28b+%2B+4+-+5%29+%2B+%28b+-+5%29+=+48\"$
\n" ); document.write( " $\"b+%2B+b+-+6+=+48\"$
\n" ); document.write( " $\"2b+=+54\"$
\n" ); document.write( " $\"b+=+27\"$
\n" ); document.write( "from (1),
\n" ); document.write( " $\"f+=+b+%2B+4\"$
\n" ); document.write( " $\"f+=+27+%2B+4\"$
\n" ); document.write( " $\"f+=+31\"$
\n" ); document.write( "barney is 27 and Fred is 31
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"%28f+-+5%29+%2B+%28b+-+5%29+=+48\"$
\n" ); document.write( "(2) $\"31+-+5+%2B+27+-+5+=+48\"$
\n" ); document.write( "(2) $\"26+%2B+22+=+48\"$
\n" ); document.write( " $\"48+=+48\"$
\n" ); document.write( "OK \n" ); document.write( "

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