a is 2 years older than b who is twice as old as c. if the total ages of a,b and c is 42, then how o

Discussion in 'Calculator Requests' started by math_celebrity, Aug 4, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    a is 2 years older than b who is twice as old as c. if the total ages of a,b and c is 42, then how old is b

    We're given 3 equations:
    1. a = b + 2
    2. b = 2c
    3. a + b + c = 42
    Substituting equation (2) into equation (1), we have:
    a = 2c + 2

    Since b = 2c, we substitute both of these into equation (3) to get:
    2c + 2 + 2c + c = 42

    To solve for c, we type this equation into our math engine and we get:
    c = 8

    Now take c = 8 and substitute it into equation (2) above:
    b = 2(8)
    b = 16
     

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