Puzzle: Grand Father, Father and Grand Son

One Grand Father, one Father and one Grand Son.
Sum of their ages is 140 Years.
Grand Son’s age in month is equal to Grand Father’s age in years.
Grand Son’s age in days is equal to Father’s age in weeks.
How old are the three in years?

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By  Shaan

Solution :

Son’s age: 7 Years, Father Age: 49 Years and Grand Father’s Age: 84 Years.
Lets assume the age(in years) of Grand Father, Father and Son as GF, F and S respectively.
Sum of their age is 140 Years
=> Equation 1 => GF + F + S = 140
Grand Son’s age in month = Grand Father’s age in years
S*12 = GF => Equation 2=> GF = 12S
Grand Son’s age in days = Father’s age in weeks
S*365 = F*(365/7)
S = F/7 => Equation 3 => F = 7S

Now we have three variables and three equations, we can easily solve it
12S + 7S + S = 140
20s= 140 => S = 7
F = 7S = 49
GF = 12S = 84.

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