Saturday, January 16, 2010

[nidokidos] My Grandson and Son

 

 
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...?"
 
 
 
or find the answer hidden in this email.
 
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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