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March 25, 2017

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Fiona and Greg play a number guessing game. Greg gives Fiona this hint about his two secret numbers, "The product of the two consecutive positive integers that i am thinking of is 11 more than their sum." What are Greg's numbers?

  • algebra - ,

    n and (n+1)
    Star in Swedish :)
    n(n+1) = 11 + n + (n+1)
    n^2 + n = 2 n +12
    n^2 - n - 12 = 0
    (n-4)(n+3) = 0
    try n = 4
    then n+1 = 5

    check:
    4*5 = 20
    4+5 = 9
    sure enough, 20 = 9 + 11

  • algebra - ,

    Okay thank you so much!

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