if a,b,c,d,e are distinct integers such that (8-a)(8-b)(8-c)(8-d)(8-e)=12 then find a+b+c+d+e
Priya , 6 Years ago
Grade 12
Differential Calculus> if a,b,c,d,e are distinct integers such t...
1 Answers
Arun
Last Activity: 6 Years ago
Dear Priya
Factors of 12 = 2 * 2 * 3 * 1 *1
For distinct factors
12 = 2 * (-2) * 3 * 1 * (-1)
Hence
8 -a = 2
8 - b = -2
8 -c = 3
8 - d = -1
8 -e = 1
Hence on adding
40 -(a+b+c+d+e) = 3
Hence
a+b+c +d +e = 37
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