document.write( "Question 261267: William is six years older than Robert. In two years, William will be twice as old as Robert. Find their ages. \n" ); document.write( "

Algebra.Com's Answer #192465 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"w\"$ = William's age now
\n" ); document.write( "Let $\"r\"$ = Robert's age now
\n" ); document.write( "In $\"2\"$ years, William's age will be
\n" ); document.write( " $\"w+%2B+2\"$
\n" ); document.write( "In $\"2\"$ years, Robert's's age will be
\n" ); document.write( " $\"r+%2B+2\"$
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"w+=+r+%2B+6\"$
\n" ); document.write( "(2) $\"w+%2B+2+=+2%2A%28r+%2B+2%29\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) in (2)
\n" ); document.write( " $\"r+%2B+6+%2B+2+=+2%2A%28r+%2B+2%29\"$
\n" ); document.write( " $\"r+%2B+8+=+2r+%2B+4\"$
\n" ); document.write( " $\"r+=+8+-+4\"$
\n" ); document.write( " $\"r+=+4\"$
\n" ); document.write( "And, since
\n" ); document.write( " $\"w+=+r+%2B+6\"$
\n" ); document.write( " $\"w+=+4+%2B+6\"$
\n" ); document.write( " $\"w+=+10\"$
\n" ); document.write( "William is 10 and Robert is 4\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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