To solve this problem, let's use variables to represent the ages of the grandson, son, and grandpa.

Let's say the grandson's age is G years, the son's age is S years, and the grandpa's age is P years.

From the given information:

1. "My grandson is about as many days as my son is weeks" implies that G = 7S. (There are 7 days in a week)
2. "My grandson is as many months as I am in years" implies that G = 12P. (There are 12 months in a year)
3. "My grandson, my son, and I together are 160 years" implies that G + S + P = 160.

We can now solve these equations to find the values of G, S, and P.

From equation 1, we have G = 7S. Substituting this in equation 3, we get 7S + S + P = 160. Combining like terms, we have 8S + P = 160.

From equation 2, we have G = 12P. Substituting this in equation 3, we get 12P + S + P = 160. Combining like terms, we have S + 13P = 160.

Now, we have a system of two equations: 8S + P = 160 S + 13P = 160

We can solve this system to find the values of S and P.

Multiplying the second equation by 8, we get 8S + 104P = 1280.

Subtracting the first equation from this, we get: (8S + 104P) - (8S + P) = 1280 - 160 103P = 1120 P = 1120 / 103 P ≈ 10.87

Since the ages are given in whole years, we can round P to the nearest whole number, which is 11.

Substituting the value of P back into the second equation, we have: S + 13(11) = 160 S + 143 = 160 S = 160 - 143 S = 17

Finally, we can find the value of G by substituting the value of S into the first equation: G = 7S G = 7(17) G = 119

Therefore, the grandson's age is 119 years, the son's age is 17 years, and the grandpa's age is 11 years.

The correct answer is B) 96, which is the age of the grandpa.

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