Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.

Discussion in 'Calculator Requests' started by math_celebrity, Oct 22, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.

    Let Victoria's age be v. And her neighbor's age be n. We're given:
    1. v = n + 4
    2. v + n <=14 <-- no more than means less than or equal to
    Substitute Equation (1) into Inequality (2):
    (n + 4) + n <= 14

    Combine like terms:
    2n + 4 <= 14

    Typing this inequality into our search engine, we get:
    n <= 5

    Substituting this into inequality (2):
    v + 5 <= 14

    Typing this inequality into our search engine, we get:
    v <= 9
     

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