A, B, C, D, and E are five different integers. When written in ascending order of values, the difference between any two adjacent integers is 8. D is the greatest, and A is the least. B is greater than E but less than C. The sum of the integers is equal to E
The sum of the integers is:
The integers A, B, C, D, E are in ascending order: A, E, B, C, D, with adjacent differences of 8. Let A = x. Then:
The sum of all integers equals E:
A + E + B + C + D = E
Substitute the expressions:
x + (x + 8) + (x + 16) + (x + 24) + (x + 32) = x + 8
Simplify: 5x + 80 = x + 8
Solve for x: 4x = -72, so x = -18
Thus, E = x + 8 = -10
The sum of the integers is E, which is -10.
Answer: (b) -10
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