+0  
 
+3
1776
4
avatar

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

Best Answer 

 #1
avatar+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
avatar+47 
+16
Best Answer

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
avatar+88775 
0

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
avatar+47 
0

ahaha cheers i was quite familiar with that problem

MILAN6030  Feb 26, 2015
 #4
avatar+88775 
0

I've recommended that one for our Daily Wrap.......a very gpod effort, indeed!!

 

CPhill  Feb 26, 2015

25 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.