document.write( "Question 723645: In 17 years a father will be twice as old as his son, whose age at the present time is 1/3 of his father’s age. How old is the father now? \n" ); document.write( "

Algebra.Com's Answer #443304 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+f+\"$ = Father's age now
\n" ); document.write( "Let $\"+s+\"$ = Son's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+s+=+%281%2F3%29%2Af+\"$
\n" ); document.write( "(2) $\"+f+%2B+17+=+2%2A%28+s+%2B+17+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+f+=+3s+\"$
\n" ); document.write( "(2) $\"+f+%2B+17+=+2s+%2B+34+\"$
\n" ); document.write( "(2) $\"+f+-+2s+=+17+\"$
\n" ); document.write( "By substitution,
\n" ); document.write( "(2) $\"+3s+-+2s+=+17+\"$
\n" ); document.write( "(2) $\"+s+=+17+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+f+=+3s+\"$
\n" ); document.write( "(1) $\"+f+=+3%2A17+\"$
\n" ); document.write( "(1) $\"+f+=+51+\"$
\n" ); document.write( "The Father is 51 now
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+f+%2B+17+=+2%2A%28+s+%2B+17+%29+\"$
\n" ); document.write( "(2) $\"+51+%2B+17+=+2%2A%28+17+%2B+17+%29+\"$
\n" ); document.write( "(2) $\"+68+=+2%2A34+\"$
\n" ); document.write( "(2) $\"+68+=+68+\"$
\n" ); document.write( "OK \n" ); document.write( "

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