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30 August, 18:06

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?

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  1. 30 August, 19:09
    0
    So you're 120 in years so your grandson is 120 months, there's 12 months in a year. so times that by 10 - he's 10 years old. How many weeks are there in 10 years? 52 weeks in 1 year so times by 10 again and theres 520. So your grandson is 520 days old, 365 days in a year. 520 - 365 is 155. So he's 1 year and 155 days. The average month has 30.4 days per month (365.25/12) So 155 days would be 5.1 months or 5 months and 3 days.

    So the final answer is 1 year, 5 months and 3 days.
  2. 30 August, 20:21
    0
    G = grandson's age

    s = son's age

    m = my age

    "grandson is about as many days as my son is in weeks"

    s = 7g

    "my grandson is about as many weeks as i am in years"

    m = 12g

    "my grandon, my son and i together are 120 years old"

    g + s + m = 120

    g + (7g) + (12g) = 120

    20g = 120

    g = 6

    s = 7g = 7 (6) = 42

    m = 12g = 12 (6) = 72

    My age in years is 72
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