document.write( "Question 978407: the present age of Lewis and Brown are in the ratio 1:2. three years from now, the ages will be in the ratio 3:5. find the present ages of Lewis and Brown. \n" ); document.write( "

Algebra.Com's Answer #599812 by josmiceli(19441) $\"\"$ $\"About$

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At present:
\n" ); document.write( "(1) $\"+L%2FB+=+1%2F2+\"$
\n" ); document.write( "In 3 years:
\n" ); document.write( "(2) $\"+%28+L+%2B+3+%29+%2F+%28+B+%2B+3+%29+=+3%2F5+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) $\"+B+=+2L+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+%28+L+%2B+3+%29+%2F+%28+2L+%2B+3+%29+=+3%2F5+\"$
\n" ); document.write( "Multiply both sides by $\"+5%2A%28+2L+%2B+3+%29+\"$
\n" ); document.write( "(2) $\"+5%2A%28+L+%2B+3+%29+=+3%2A%28+2L+%2B+3+%29+\"$
\n" ); document.write( "(2) $\"+5L+%2B+15+=+6L+%2B+9+\"$
\n" ); document.write( "(2) $\"+L+=+15+-+9+\"$
\n" ); document.write( "(2) $\"+L+=+6+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+B+=+2L+\"$
\n" ); document.write( "(1) $\"+B+=+2%2A6+\"$
\n" ); document.write( "(1) $\"+B+=+12+\"$
\n" ); document.write( "Lewis is 6 and Brown is 12
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+L+%2B+3+%29+%2F+%28+B+%2B+3+%29+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+%28+6+%2B+3+%29+%2F+%28+12+%2B+3+%29+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+9%2F15+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+%28+3%2F3+%29%2A%28+3%2F5+%29+=+3%2F5+\"$
\n" ); document.write( "(2) $\"+3%2F5+=+3%2F5+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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