I am thinking of a number. I multiply it by 14 and add 13. I get the same answer if I multiply by 5

Discussion in 'Calculator Requests' started by math_celebrity, Aug 5, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    I am thinking of a number. I multiply it by 14 and add 13. I get the same answer if I multiply by 5 and add 283. What is my number?

    Let the number be n. We're given two expressions:

    1. Multiply it by 14 and add 13: 14n + 13
    2. Multiply by 5 and add 283: 5n + 283
    The phrase I get the same answer means an equation. So we set expression 1 equal to expression 2:
    14n + 13 = 5n + 283

    To solve for n, we type this equation into our search engine and we get:
    n = 30
     

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