My grandson is about as many days as my daugher 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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  72

Step-by-step explanation:

Let x, y, z represent my age, my daughter's age, and my grandson's age in years. We assume for this problem 365 days in a year, so 52 1/7 weeks in a year.

  x + y + z = 120 . . . . the total of our ages in years

  12z = x . . . . . . . . . . . my grandson's months are the same as my years

  365z = (52 1/7)y . . . grandson's days = daughter's weeks

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Writing these equations in standard form, we have ...

  x + y + z = 120

  x + 0y -12z = 0

  0x +y -7z = 0

These can be solved by a variety of methods. A "by-hand" solution follows.

Subtracting the last two equations from the first, we get

  (x +y +z) -(x -12z) -(y -7z) = (120) -(0) -(0)

  20z = 120

  z = 6

Then x can be found from the second equation:

  x = 12z = 12(6) = 72

My age is 72 years.

Additional comment

We've already seen my son is 6. My daughter is 42.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: