Cam is 3 years older than Lara. If their combined age is 63, determine their ages by solving an appr

Discussion in 'Calculator Requests' started by math_celebrity, May 25, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Cam is 3 years older than Lara. If their combined age is 63, determine their ages by solving an appropriate pair of equations.

    Let Cam's age be c. Let Lara's age be l. We're given two equations:
    1. c = l + 3 <-- older means we add
    2. c + l = 63 <-- combined ages mean we add
    Substitute equation (1) into equation (2):
    l + 3 + l = 63

    Combine like terms to simplify our equation:
    2l + 3 = 63

    To solve for l, we type this equation into our search engine and we get:
    l = 30

    Now, we plug l = 30 into equation (1) to solve for c:
    c = 30 + 3
    c = 33
     

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