Posted by **tsong** on Monday, April 29, 2013 at 11:26am.

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 -
**Steve**, Monday, April 29, 2013 at 11:33am
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 -
**tsong**, Monday, April 29, 2013 at 11:47am
thanks...

## Answer this Question

## Related Questions

- biology - Given the part of the molecule shown below, can the underlined atom ...
- Grade 12 Calculus - Evaluate each of the following. Show all your calculations...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- math - The number 27+200−−−√−−−−...
- calculus - Find an equation for the surface consisting of all points P(x, y, z) ...
- physics - Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^&#...
- mathematics - x,y and z are complex numbers that satisfy the equations x+y+z=2, ...
- chemistry - For which of these elements would the electron affinity process ...
- chemistry - For which of these elements would the electron affinity process ...