Lorda is older than Kate. The sum of their ages is 30. The difference in their ages is 6. What are t

Discussion in 'Calculator Requests' started by math_celebrity, Apr 7, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Lorda is older than Kate. The sum of their ages is 30. The difference in their ages is 6. What are their ages?

    Let Lorda's age be l. Let Kate's age be k. We're given two equations:
    1. l + k = 30
    2. l - k = 6 <-- Since Lorda is older
    Add the 2 equations together and we eliminate k:
    2l = 36

    Typing this equation into our search engine and solving for l, we get:
    l = 18

    Now substitute l = 18 into equation 1:
    18 + k = 30

    Type this equation into our search engine and solving for k, we get:
    k = 12
     

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