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INTERACTIVE ZONE => The Fun Zone => Topic started by: Ryan Martis on January 18, 2010, 07:10:15 AM



Title: Can You Guess My Age?
Post by: Ryan Martis on January 18, 2010, 07:10:15 AM
Grandpa:

"My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years...?"

(http://800014.xyz/files/funfani/imgs/informative/guess_my_age_01.jpg)

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SCROLL DOWN FOR ANSWER.


Title: Re: Can You Guess My Age?
Post by: Ryan Martis on January 18, 2010, 07:11:13 AM
ANSWER :

72 Years...

Solution:

Grandpa:

"This problem is conveniently solved by writing down the necessary equations. Note that there are 12 months in a year, 52 weeks in a year, and 365 days in a year.

Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,

365g = 52s.

Since my grandson is 12g months old,

12g = m.

Since my grandson, my son and I together are 120 years,

g + s + m = 120.

The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows.

m / 12 + 365 m / (52 × 12) + m = 120 or

52 m + 365 m + 624 m = 624 × 120 or

m = 624 × 120 / 1041 = 72.

So, I am 72 years old."


Title: Re: Can You Guess My Age?
Post by: thomasray on November 25, 2010, 06:36:49 AM
wooooHH man . . . that was too hard to guess . . . !!!
you really are 72 . . . ?