kate is twice as old as her sister mars. the sum of their ages is 24. find their ages.

Discussion in 'Calculator Requests' started by math_celebrity, Oct 8, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    kate is twice as old as her sister mars. the sum of their ages is 24. find their ages.

    Let k be Kate's age
    Let m be Mars's age

    We're given two equations:
    1. k = 2m. (Because twice means multiply by 2)
    2. k + m = 24
    Substitute equation (1) for k into equation (2):
    2m + m = 24

    T o solve for m, we type this equation into our math engine:
    m = 8

    We want to solve for k using m= 8. Substitute this into equation 1
    k = 2(8)
    k = 16

    Check our work for equation 1
    16 = 2 * 8
    16 = 16

    Check our work for equation 2
    16 + 8 ? 24
    24 = 24

     
    Last edited: Oct 8, 2021

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