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11 August, 19:25

Michael's dad is 30 years of age. He is 2 years more than four times Michaels age m. Write and solve a two-step equation to determine Michaels age. Use x as the variable

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  1. 11 August, 20:35
    0
    The two step equation that we can use to find michael's age is x = (f-2) / 4 where f = 30. So Michael is 7 years old.

    Step-by-step explanation:

    In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:

    f = 30

    Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:

    f = 2 + 4*x

    We can now find Michael's age, for that we need to isolate the "x" variable. We have:

    f - 2 = 4*x

    4*x = f - 2

    x = (f-2) / 4

    x = (30 - 2) / 4 = 7 years

    The two step equation that we can use to find michael's age is x = (f-2) / 4 where f = 30. So Michael is 7 years old.
  2. 11 August, 21:56
    0
    Michael's age is 7 years

    Step-by-step explanation:

    Let's call Michael's dad age by Y, and Michael age by X

    if Michael's dad is 2 years more than four times Michaels age, we can put this information as an equation:

    Y = 2 + 4*X

    Then, we solve this equation (find the value of X) using the value Y = 30:

    30 = 2 + 4*X

    step 1: subtract 2 in both sides:

    28 = 4*X

    step 2: divide both sides by 4:

    X = 7

    Michael's age is 7 years
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