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Funfani.com - Spreading Fun All Over!INTERACTIVE ZONEThe Fun ZoneCan You Guess My Age?
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Ryan Martis
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« 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...?"




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« Last Edit: January 18, 2010, 07:11:56 AM by Ryan Martis » Report to moderator   Logged
Ryan Martis
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« Reply #1 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."
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thomasray
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« Reply #2 on: November 25, 2010, 06:36:49 AM »

wooooHH man . . . that was too hard to guess . . . !!!
you really are 72 . . . ?
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