Question

My grandson is about as many days as my daughter in weeks, and my grandson is as many months as I am in years. My grandson, my daughter and I together are 120 years. Can you tell me my age in years?

Answer 1

GIVEN :

Let the age of man be x

Age of the person's grandson is about as many months as he is in years.

Age of his grandson be x/12

Age of the person's daughter in weeks is as same as the grandson in days.

Age of his daughter be 7x/12

Sum of the their ages = 120 years.

According to the problem,

$x + \frac{x}{12} + \frac{7x}{12} = 120 \\ \\ x + \frac{8x}{12} = 120 \\ \\ \frac{12x + 8x}{12} = 120 \\ \\ 20x = 120 \times 12 \\ \\ 20x = 1440 \\ \\x = \frac{1440}{20} \\ \\ x = 72$

Therefore, the age of person is 72 years.

Answer 2

Answer:

The age of that person is 72 years.

Step-by-step explanation:

Given Problem:

My grandson is about as many days as my daughter in weeks, and my grandson is as many months as I am in years. My grandson, my daughter and I together are 120 years. Can you tell me my age in years?  

Solution:

To Find:

The age of that man.

----------------------------

Method:

Let m be that man's age in years.

If s is his son's age in years, then his son is 52s weeks old.

If g is his grandson's age in years, then his grandson is 365g days old.

Thus,

= > 365g = 52s

Since,

His grandson is 12g months old,

12g = m.

Since,

His grandson, his son and that man together are 120 years,

g + s + m = 120.

The above 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, that am 72 years old.

Hence,

The age of that man is 72 years old.

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Thanks!! ¯\_(ツ)_/¯