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### Tough Age Puzzle

Tough Age Puzzle - 1 November

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 ?

1. how???? plz giv steps???
g+7g+12g=120 is not correct

2. it is if g=6 i.e. grandson's age

3. Gave steps down below.

1. Edward Jackson
72
42
6

2. This comment has been removed by the author.

3. gf- 72
f-42
gs-6

4. since, 1 yr is equal to 365 or 360 days. Using 365 days a year, then their is 52.1428 weeks per year...The problem must state a condition, using 1 year is equal 52 weeks.

5. Gardan 6 years father 72 son 42 years old

6. I have question regarding this statement "My grandson is about as many days as my son in weeks"
If the answer is grandpa = 72 years old, son = 42 years, grandson = 6 years,
then :
grandson = 6 years, then in days = 6*365 = 2190
son = 42 years = then in weeks = 42 * 52 = 2184
2190 <> 2184, so the son's age is not exactly 42 year old ?

1. its the grandson's age when compared to the son's age is about as many days as a week.
like 1:7

7. The ages are approximations

8. Given:
S = d (days)
D = w = d (same as number of days)
G = y = d/30 (days/30 = months)

Deducted:
S (in years) = d/365
D (in years) = d/52
G (in years) = d/30

So:
d/365 + d/52 + d/30 = 120
d(1/365 + 1/52 + 1/30) = 120
d(.0027 + .0192 + .0333) = 120
d(.0552) = 120
d = 120/.0552 = 2174

Therefore, in years:
S = 2174/365 = 5.9562 ≈ 6
D = 2174/52 = 41.8077 ≈ 42
G = 2174/30 = 72.4667 ≈ 72

6 + 42 + 72 = 120

Grandfather is 72.