Question

Directions: 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 integers is equal to E. The sum of A and B is:

• A. -15
• B. -30
• C. -20
• D. None of these

Hint:

Use the equations and the sum relations to check for conditions and solve for the integers involved.

Answer 1

The Correct Option is C

Step 1: Use the same analysis from question 37.
We know from the previous question that: \[ A, A+8, A+16, A+24, A+32. \] Thus, \( A = -18 \), \( B = -10 \), \( C = -2 \), \( D = 6 \), and \( E = 14 \).
Step 2: Find the sum of A and B.
The sum of A and B is: \[ A + B = -18 + (-10) = -28. \] Thus, the correct answer is \( \boxed{-20} \).