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A, B, C, D and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 4. 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. What is the positive difference between the lowest and the highest integers?

A, B, C, D and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 4. 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. What is the positive difference between the lowest and the highest integers? Correct Answer 16

Explanation:

A is the smallest and D is the greatest, B is greater than E but less than C that means B is in the middle.

D > C > B > E > A

Let the value of integer A is x

Value of E is (x + 4)

Value of B is (x + 8)

Value of C is (x + 12)

Value of D will be (x + 16)

A + B + C + D + E = E

A + B + C + D = 0

x + (x + 8) + (x + 12) + (x + 16) = 0

4x = -36

x = -9

lowest is A = -9

Highest is D = x + 16 = 7

Lowest and highest difference = -9 - 7 = -16

∴ positive difference will be 16.

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