number theory and algebra

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a, b, c, d and e are distinct integers such that (5−a)(5−b)(5−c)(5−d)(5−e)=28. What is the value of a+b+c+d+e?

  • number theory and algebra -

    well, since the only factors of 28 are ±1,±2,±4,±7 I'd have to go with
    (2)(-2)(1)(-1)(7)
    (5-3)(5-7)(5-4)(5-6)(5-(-2)) = 28
    3+7+4+6-2 = 18

  • number theory and algebra -

    thanks...

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