If 11 times a number is added to twice the number, the result is 104

Discussion in 'Calculator Requests' started by math_celebrity, Oct 12, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If 11 times a number is added to twice the number, the result is 104

    Let the number be an arbitrary variable we call x.

    11 times a number:
    11x

    Twice the number (means we multiply x by 2):
    2x

    The phrase is added to means we add 2x to 11x:
    11x + 2x

    Simplify by grouping like terms:
    (11 + 2)x = 13x

    The phrase the result is means an equation, so we set 13x equal to 104:
    13x = 104 <-- This is our algebraic expression

    To solve this equation for x, we type it in our search engine and we get:
    x = 8
     

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