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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?

 Jul 30, 2020
 #1
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https://web2.0calc.com/questions/a-family-affair

 

 

https://web2.0calc.com/questions/tough-but-fun-hard-maths-question

 Jul 30, 2020
edited by ElectricPavlov  Jul 30, 2020
 #2
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G = years (Grandpa)
G=Months(Grandson)=G/12
G/12*365 /(365/7)=Son's age in years.
G + G/12 +[G/12*365 /(365/7)] =120, solve for G
G=72 years - Grandpa's age
72 months / 12 = 6 Years - Grandson's age. So that:
120 - 72 - 6 =42 years - son's age. So that:
6 years x 365 days = 42 years x (365/7) weeks
2,190 days - grandson's age  = 2,190 weeks - son's age

 Jul 30, 2020
 #3
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G =   s*52 / 365                grandson age in years

A =   s*52/365   * 12         adult's age  (what the question is asking )

s = son's age                    summed = 120

 

s*52/365   +  s   +  s*52/365  * 12  =  120

solve for s = 42 y/o

 

then  G = 6 y/o

 

A = 42*52/365  * 12 =  ~72 y/o

 Jul 31, 2020

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