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 ?
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Let the man's age in years be x.
His grandson's age in months is the same as the man's age in years. Since there are 12 months in a year, the grandson's age in years is x/12.
His daughter's age in weeks is the same as his grandson's age in days. Since there are 7 days in a week, the daughter's age is 7(x/12).
The sum of their ages is 120 years:
x+%2B+x%2F12+%2B+7x%2F12+=+120
%2812x%2Bx%2B7x%29%2F12+=+120
20x+=+1440
x+=+72
ANSWER: The man's age is 72 years.
The problem doesn't ask for the ages of his daughter and grandson; they are x/12 = 6 for the grandson and 7x/12 = 42 for the daughter. As a check, see that 72+42+6 = 120, as required.
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