Alvin is 34 years younger than Elga. Elga is 3 times older than Alvin. What is Elgas age?

Discussion in 'Calculator Requests' started by math_celebrity, Sep 18, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Alvin is 34 years younger than Elga. Elga is 3 times older than Alvin. What is Elgas age?

    Let a be Alvin's age. Let e be Elga's age. We're given:
    1. a = e - 34
    2. e = 3a
    Substitute (2) into (1):
    a = 3a - 34

    Typing this equation into the search engine, we get
    a = 17

    Subtitute this into Equation (2):
    e = 3(17)
    e = 51
     

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