SOLUTION: 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 cent

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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?
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
g+d+m=100,
365g=52d,
12g=m
d = 36500/1041, g = 5200/1041, m = 20800/347=62400/1041
d=35.0624399615754, g=4.99519692603266, m=59.9423631123919
d=35 g=5 m=60
check
5+35+60=100
52*d=1820
1820/5=364
1825/365=5
5*12=60
ok
the key is "about as many days"

Answer by josmiceli(19441) About Me  (Show Source):
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
Let +c+ = you granddaughter's age in years
----------
given:
(1) +365.25c+=+52b+
(2) +12c+=+a+
(3) +a+%2B+b+%2B+c+=+100+
---------------------
(1) +b+=+365.25%2F52+
(1) +b+=+7.024c+
By substitution:
(3) +12c+%2B+7.024c+%2B+c+=+100+
(3) +20.024c+=+100+
(3) +c+=+4.994+
and, since
(1) +b+=+7.024c+
(1) +b+=+7.024%2A4.994+
(1) +b+=+35.078+
and
(2) +12c+=+a+
(2) +a+=+12%2A4.994+
(2) +a+=+59.928+
Your age is 60 yrs
check answer:
(3) +a+%2B+b+%2B+c+=+100+
(3) +60+%2B+35+%2B+5+=+100+ ( approximately )
(3) +100+=+100+
OK