If you divide my brother's age by 3 and then add 20, you will get my age, which is 31. What is my br

Discussion in 'Calculator Requests' started by math_celebrity, Oct 21, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If you divide my brother's age by 3 and then add 20, you will get my age, which is 31. What is my brothers age?

    Let b be the brother's age.

    We're given the following relationship for the brother's age and my age:
    b/3 + 20 = 31

    Subtract 20 from each side:
    b/3 + 20 - 20 = 31 - 20

    Cancel the 20's on the left side and we get:
    b/3 = 11

    Cross multiply, and we get:
    b = 3 * 11
    b = 33

    Check our work using b = 33 for b/3 + 20 = 31:
    33/3 + 20 ? 31
    11 + 20 ? 31
    31 = 31
     

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