Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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 ?

Sagot :

ValyRemus

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. 

The problem is hard...i don't know if you understood this..Hope i helped!

naǫ
x - your son's age in years
y - your age in years

There are 52 weeks in a year and 365 days in a year, so the age of your grandson in years is (52x)/365
There are 12 months in a year, so the age of your grandson in years is y/12.

Set both expressions equal to each other:
[tex]\frac{52x}{365}=\frac{y}{12} \\ 52x \times 12=365y \\ 624x=365y \\ x=\frac{365}{624}y[/tex]
Your son's age is equal to 365/624 of your age.

Your grandson, your son and you together are 120 years.
[tex]\frac{1}{12}y+\frac{365}{624}y+y=120 \\ \frac{52}{624}y+\frac{365}{624}y+\frac{624}{624}y=120 \\ \frac{1041}{624}y=120 \\ y=120 \times \frac{624}{1041} \\ y \approx 72[/tex]

You are 72 years old.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.