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

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) (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) (Show Source): You can put this solution on YOUR website!
Let = your daughter's age in years
Let = you granddaughter's age in years
----------
given:
(1)
(2)
(3)
---------------------
(1)
(1)
By substitution:
(3)
(3)
(3)
and, since
(1)
(1)
(1)
and
(2)
(2)
(2)
Your age is 60 yrs
check answer:
(3)
(3) ( approximately )
(3)
OK

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