document.write( "Question 984046: Samuel is 1/2 as old as his brother. In seven years, he will be 2/3 as old as his brother will be. Find their present ages. \n" ); document.write( "

Algebra.Com's Answer #604831 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s+\"$ = Samuel's age now
\n" ); document.write( "Let $\"+b+\"$ = brother's age now
\n" ); document.write( "(1) $\"+s+=+%281%2F2%29%2Ab+\"$
\n" ); document.write( "(2) $\"+s+%2B+7+=+%282%2F3%29%2A%28+b+%2B+7+%29+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "substitute (1) into (2)
\n" ); document.write( "(2) $\"+%281%2F2%29%2Ab+%2B+7+=+%282%2F3%29%2A%28+b+%2B+7+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+6+\"$
\n" ); document.write( "(2) $\"+3b+%2B+42+=+4%2A%28+b+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+3b+%2B+42+=+4b+%2B+28+\"$
\n" ); document.write( "(2) $\"+b+=+42+-+28+\"$
\n" ); document.write( "(2) $\"+b+=+14+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+s+=+%281%2F2%29%2A14+\"$
\n" ); document.write( "(1) $\"+s+=+7+\"$
\n" ); document.write( "Samuel is 7
\n" ); document.write( "His brother is 14
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+s+%2B+7+=+%282%2F3%29%2A%28+b+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+7+%2B+7+=+%282%2F3%29%2A%28+14+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+14+=+%282%2F3%29%2A21+\"$
\n" ); document.write( "(2) $\"+42+=+2%2A21+\"$
\n" ); document.write( "(2) $\"+42+=+42+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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