document.write( "Question 731751: My granddaughter is about as many days as my daughter is weeks, and my granddaughter is as many months as I am years. My granddaughter, my daughter, and my age are equal to a century. What is my age in years? \n" ); document.write( "

Algebra.Com's Answer #447290 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a%7D%7D+=+your+age+in+years%0D%0ALet+%7B%7B%7B+b+\"$ = your daughter's age in years
\n" ); document.write( "Let $\"+c+\"$ = you granddaughter's age in years
\n" ); document.write( "----------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+365.25c+=+52b+\"$
\n" ); document.write( "(2) $\"+12c+=+a+\"$
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+100+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+b+=+365.25%2F52+\"$
\n" ); document.write( "(1) $\"+b+=+7.024c+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(3) $\"+12c+%2B+7.024c+%2B+c+=+100+\"$
\n" ); document.write( "(3) $\"+20.024c+=+100+\"$
\n" ); document.write( "(3) $\"+c+=+4.994+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+b+=+7.024c+\"$
\n" ); document.write( "(1) $\"+b+=+7.024%2A4.994+\"$
\n" ); document.write( "(1) $\"+b+=+35.078+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+12c+=+a+\"$
\n" ); document.write( "(2) $\"+a+=+12%2A4.994+\"$
\n" ); document.write( "(2) $\"+a+=+59.928+\"$
\n" ); document.write( "Your age is 60 yrs
\n" ); document.write( "check answer:
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+100+\"$
\n" ); document.write( "(3) $\"+60+%2B+35+%2B+5+=+100+\"$ ( approximately )
\n" ); document.write( "(3) $\"+100+=+100+\"$
\n" ); document.write( "OK\r
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