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# My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together

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My grandson is about as many days as my son in 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 ?

Guest Feb 26, 2015

#1
+47
+16

I am 72 years old.

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 x 12) + m = 120 or
52 m + 365 m + 624 m = 624 x 120 or
m = 624 x 120 / 1041 = 72.
So, I am 72 years old.

MILAN6030  Feb 26, 2015
#1
+47
+16

I am 72 years old.

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 x 12) + m = 120 or
52 m + 365 m + 624 m = 624 x 120 or
m = 624 x 120 / 1041 = 72.
So, I am 72 years old.

MILAN6030  Feb 26, 2015
#2
+92669
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Wow....that's pretty impressive, MILAN6030....!!!

That's a very difficult problem......it took me about 15 minutes to wade through it.....my head hasn't stopped spinning, yet.....LOL!!!

CPhill  Feb 26, 2015
#3
+47
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ahaha cheers i was quite familiar with that problem

MILAN6030  Feb 26, 2015
#4
+92669
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I've recommended that one for our Daily Wrap.......a very gpod effort, indeed!!

CPhill  Feb 26, 2015