document.write( "Question 601828: A father is twice as old as his son and thrice as old as his daughter. If the father is eight years older than the sum of his children's ages, find the age of the daughter?\r
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Algebra.Com's Answer #380022 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+f+\"$ = Father's age
\n" ); document.write( "Let $\"+s+\"$ = Son's age
\n" ); document.write( "Let $\"+d+\"$ = Daughter's age
\n" ); document.write( "----------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+f+=+2s+\"$
\n" ); document.write( "(2) $\"+f+=+3d+\"$
\n" ); document.write( "(3) $\"+f+=+s+%2B+d+%2B+8+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+s+=+f%2F2+\"$
\n" ); document.write( "(2) $\"+d+=+f%2F3+\"$
\n" ); document.write( "By substitution,
\n" ); document.write( "(3) $\"+f+=+f%2F2+%2B+f%2F3+%2B+8+\"$
\n" ); document.write( "(3) $\"+6f+=+3f+%2B+2f+%2B+48+\"$
\n" ); document.write( "(3) $\"+6f+-+5f+=+48+\"$
\n" ); document.write( "(3) $\"+f+=+48+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+d+=+f%2F3+\"$
\n" ); document.write( " $\"+d+=+16+\"$
\n" ); document.write( "The Daughter is 16
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+s+=+f%2F2+\"$
\n" ); document.write( "(1) $\"+s+=+24+\"$
\n" ); document.write( "(3) $\"+f+=+s+%2B+d+%2B+8+\"$
\n" ); document.write( "(3) $\"+f+=+24+%2B+16+%2B+8+\"$
\n" ); document.write( "(3) $\"+f+=+48+\"$
\n" ); document.write( "OK \n" ); document.write( "

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