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

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