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Question
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 8. D is the greatest and A the least. B is greater
than E but less than C. The sum of the integer is equal to E.
The sum of the integers is
🎥 Video solution / Text Solution of this question is given below:
Logical Puzzle: Sum of 5 Arithmetic Integers
Given:
- Five different integers A, B, C, D, E in ascending order
- Common difference between adjacent integers = 8
- D is greatest, A is least
- B > E and B < C
- Sum = E
Let A = x, then:
- A = x
- E = x + 8
- B = x + 16
- C = x + 24
- D = x + 32
Total Sum = 5x + 80 = E = x + 8 → Solve:
5x + 80 = x + 8 ⇒ x = −18
Values: −18, −10, −2, 6, 14
✅ Final Answer: −10
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