document.write( "Question 643220: My daughter is twice is old as my son and 1/2 as old as I am. In 22 years my son will be half my age. how old is my daughter? \n" ); document.write( "

Algebra.Com's Answer #404417 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = my age
\n" ); document.write( "Let $\"+b+\"$ = my Daughter's age
\n" ); document.write( "Let $\"+c+\"$ = my Son's age
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+b+=+2c+\"$
\n" ); document.write( "(2) $\"+b+=+%281%2F2%29%2Aa+\"$
\n" ); document.write( "(3) $\"+c+%2B+22+=+%281%2F2%29%2A%28+a+%2B+22+%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+c+=+b%2F2+\"$
\n" ); document.write( "(2) $\"+a+=+2b+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+b%2F2+%2B+22+=+%281%2F2%29%2A%28+2b+%2B+22+%29+\"$
\n" ); document.write( "multiply both sides by $\"2\"$
\n" ); document.write( "(3) $\"+b+%2B+44+=++2b+%2B+22++\"$
\n" ); document.write( "(3) $\"+b+=+44+-+22+\"$
\n" ); document.write( "(3) $\"+b+=+22+\"$
\n" ); document.write( "My daughter is 22
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+c+=+b%2F2+\"$
\n" ); document.write( "(1) $\"+c+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+2%2A22+\"$
\n" ); document.write( "(2) $\"+a+=+44+\"$
\n" ); document.write( "------------
\n" ); document.write( "(3) $\"+11+%2B+22+=+%281%2F2%29%2A%28+44+%2B+22+%29+\"$
\n" ); document.write( "(3) $\"+33+=+%281%2F2%29%2A66+\"$
\n" ); document.write( "(3) $\"+66+=+66+\"$ \n" ); document.write( "

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