Brian's age is 3/4 of Marcus'. The sum of their ages is 14. How old are Marcus and Brian?

Discussion in 'Calculator Requests' started by math_celebrity, Feb 7, 2018.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Brian's age is 3/4 of Marcus'. The sum of their ages is 14. How old are Marcus and Brian?

    Let Marcus's age be m.
    Then Brian's age = 3/4m

    The sum is:
    m + 3m/4 = 14

    Combine like terms
    7m/4 = 14

    Cross multiply:
    7m = 56

    Plugging this into the search engine, we get m = 8.

    So Brian's age = 3(8)/4 = 24/4 = 6
     

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