I am thinking of a number. I multiply it by 7 and add 25. I get the same answer if I multiply by 3 a

Discussion in 'Calculator Requests' started by math_celebrity, Jun 17, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    I am thinking of a number. I multiply it by 7 and add 25. I get the same answer if I multiply by 3 and add 93. What is my number?

    Let the number be n. We're given two expressions:
    • Multiply the number by 7: 7n
    • add 25: 7n + 25. <-- Expression 1
    • Multiply by 3: 3n
    • Add 93: 3n + 93 <-- Expression 2
    • The phrase get the same answer means both expression 1 and expression 2 are equal. So we set them equal to each other:
    7n + 25 = 3n + 93

    To solve for n, we type this equation into our search engine and we get:
    n = 17
     

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