Nancy is 10 years less than 3 times her daughters age. If Nancy is 41 years old, how old is her daug

Discussion in 'Calculator Requests' started by math_celebrity, Oct 28, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Nancy is 10 years less than 3 times her daughters age. If Nancy is 41 years old, how old is her daughter?

    Declare variables for each age:
    • Let Nancy's age be n
    • Let her daughter's age be d
    We're given two equations:
    1. n = 3d - 10
    2. n = 41
    We set 3d - 10 = 41 and solve for d:

    Solve for d in the equation 3d - 10 = 41

    Step 1: Group constants:
    We need to group our constants -10 and 41. To do that, we add 10 to both sides
    3d - 10 + 10 = 41 + 10

    Step 2: Cancel 10 on the left side:
    3d = 51

    Step 3: Divide each side of the equation by 3
    3d/3 = 51/3
    d = 17
     

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