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Can someone please help me solve this?

Find three consecutive integers whose sum is equal to the product of the first two.

4 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    3 2 and 1.... 3+2+1= 6 and 3 x 2= 6 lol i think i did it wrong

    Ahhh editt its 3, 4 and 5....

  • 9 years ago

    Hello Andy, let the three consecutive integers be k-1, k and k+1

    Their sum is 3k

    Product of the first two = k^2 - k

    Given k^2 - k = 3k

    ==> k^2 -4k = 0

    ===> k(k-4) = 0

    Hence k=0 or k=4

    So the three integers could be -1, 0, +1 OR 3,4,5

    You can verify yourself.

  • Anonymous
    9 years ago

    n,(n+1),(n+2)

    n+(n+1)+(n+2) = n*(n+1)

    3n+3 = n^2+n

    n^2-2n-3 = 0

    (n-3)(n+1) = 0

    n = 3 or -1

    n must be positive then n = 3

    sequence is 3,4,5

  • 9 years ago

    let the nos are n-1 , n , n+1 the from question 3n= n*(n-1) or 3*n=n^2-n or n^2-4*n=0 or n=0 or n=4so the answer is -1,0,1 or 3,4,5

    hope this helps

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