document.write( "Question 658385: Paula is 12 years older than her brother Bob.Four years from now Bob will be two thirds as old as Paula. how old are they now ? \n" ); document.write( "

Algebra.Com's Answer #410271 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+p+\"$ = Paula's age now
\n" ); document.write( "Let $\"+b+\"$ = Bob's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+p+=+b+%2B+12+\"$
\n" ); document.write( "(2) $\"+b+%2B+4+=+%282%2F3%29%2A%28+p+%2B+4+%29+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+3b+%2B+12+=+2p+%2B+8+\"$
\n" ); document.write( "(2) $\"+2p+-+3b+=+4+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2%2A%28+b+%2B+12+%29+-+3b+=+4+\"$
\n" ); document.write( "(2) $\"+2b+%2B+24+-+3b+=+4+\"$
\n" ); document.write( "(2) $\"+-b+=+-20+\"$
\n" ); document.write( "(2) $\"+b+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+p+=+b+%2B+12+\"$
\n" ); document.write( "(1) $\"+p+=+20+%2B+12+\"$
\n" ); document.write( "(1) $\"+p+=+32+\"$
\n" ); document.write( "Paula is 32
\n" ); document.write( "Bob is 20
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "In 4 years Paula is 36
\n" ); document.write( "In 4 years Bob is 24
\n" ); document.write( " $\"+24+=+%282%2F3%29%2A36+\"$
\n" ); document.write( "Divide both sides by $\"12\"$
\n" ); document.write( " $\"+2+=+%282%2F3%29%2A3+\"$
\n" ); document.write( " $\"+2%2F3+=+2%2F3+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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