document.write( "Question 709318: Plz here is my question:
\n" ); document.write( "The sum of the ages of a mother and her daughter are 44,3 years ago the product of their age was 192. How old is d daughter now? \n" ); document.write( "

Algebra.Com's Answer #436516 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = age of Mother 3 years ago
\n" ); document.write( "Let $\"+d+\"$ = age of Daughter 3 years ago
\n" ); document.write( " $\"+m+%2B+3+\"$ = mother's age now
\n" ); document.write( " $\"+d+%2B+3+\"$ = Daughter's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+%28+m+%2B+3+%29+%2B+%28+d+%2B+3+%29+=+44+\"$
\n" ); document.write( "(2) $\"+m%2Ad+=+192+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+m+%2B+d+%2B+6+=+44+\"$
\n" ); document.write( "(1) $\"+m+%2B+d+=+38+\"$
\n" ); document.write( "(1) $\"+m+=+38+-+d+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+%28+38+-+d+%29%2Ad+=+192+\"$
\n" ); document.write( "(2) $\"+38d+-+d%5E2+=+192+\"$
\n" ); document.write( "(2) $\"+-d%5E2+%2B+38d+=+192+\"$
\n" ); document.write( "(2) $\"+d%5E2+-+38d+=+-192+\"$
\n" ); document.write( "(2) $\"+d%5E2+-+38d+%2B+%2838%2F2%29%5E2+=+-192+%2B+%2838%2F2%29%5E2+\"$
\n" ); document.write( "(2) $\"+d%5E2+-+38d+%2B+361+=+-192+%2B+361+\"$
\n" ); document.write( "(2) $\"+%28+d+-+19+%29%5E2+=+169+\"$
\n" ); document.write( "(2) $\"+%28+d+-+19+%29%5E2+=+13%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "(2) $\"+d+-+19+=+13+\"$
\n" ); document.write( "(2) $\"+d+=+32+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+m+=+38+-+d+\"$
\n" ); document.write( "(1) $\"+m+=+38+-+32+\"$
\n" ); document.write( "(1) $\"+m+=+6+\"$
\n" ); document.write( "-------------
\n" ); document.write( "This didn't work because the Daughter is 32 ( 3 yrs ago )
\n" ); document.write( "and the Mother is 6 ( 3 yrs ago ). To make it right, just take the
\n" ); document.write( "negative square root of $\"+13%5E2+\"$ a few steps aback
\n" ); document.write( "(2) $\"+%28+d+-+19+%29%5E2+=+13%5E2+\"$
\n" ); document.write( "(2) $\"+d+-+19+=+-13+\"$
\n" ); document.write( "(2) $\"+d+=+19+-+13+\"$
\n" ); document.write( "(2) $\"+d+=+6+\"$
\n" ); document.write( "Now it works out- the Daughter was 6 three years ago,
\n" ); document.write( "so now the Daughter is 9 now.
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"++m%2Ad+=+192+\"$
\n" ); document.write( "(2) $\"++32%2A6+=+192+\"$
\n" ); document.write( "(2) $\"+192+=+192+\"$
\n" ); document.write( "OK\r
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