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
What is the value of A?
Let the numbers be:
A, D-24, D-16, D-8, D
According to the Question:
A, D-24 (E), D-16 (B), D-8 (C), D
Equations:
i. \( D - 24 - A = 8 \)
\( \Rightarrow D - A = 32 \)
ii. \( A + 3D = 24 \)
Using equation (i) and (ii):
\( D = 14 \)
\( A = -18 \)
Final Sequence:
-18, -10, -2, 6, 14
Reinforce your conceptual grasp with related questions from NIMCET 2024:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →