document.write( "Question 497414: the present age of a man is 3 times that of his son 6 years ago, the age of the man was 4 times that of his son. the ratio of their ages 6 years later will be? \n" ); document.write( "

Algebra.Com's Answer #336725 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = man's age now
\n" ); document.write( "Let $\"s\"$ = Son's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+m+=+3s+\"$
\n" ); document.write( "(2) $\"+m+-+6+=+4%2A%28s+-+6%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "By substitution,
\n" ); document.write( "(2) $\"+3s+-+6+=+4s+-+24+\"$
\n" ); document.write( "(2) $\"+s+=+24+-+6+\"$
\n" ); document.write( "(2) $\"+s+=+18+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+m+=+3s+\"$
\n" ); document.write( "(1) $\"+m+=+3%2A18+\"$
\n" ); document.write( "(1) $\"+m+=+54+\"$
\n" ); document.write( "In $\"6\"$ years,
\n" ); document.write( " $\"+%28+m+%2B+6+%29+%2F+%28+s+%2B+6+%29+=+60%2F24+\"$
\n" ); document.write( " $\"+60%2F24+=+5%2F2+\"$
\n" ); document.write( "The ratio of their ages in 6 years will be 5/2 \n" ); document.write( "

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