Question

Direction for the question: Read the following information carefully and answer the question that follows. The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D. Whose income is the highest?

• A. A
• B. B
• C. C
• D. D
• E. A or C

Hint:

Convert word conditions into algebraic equations.

Answer 1

The Correct Option is B

Let incomes be A, B, C, D. Given: \[ A + B>C + D \] \[ A + C = B + D \] \[ A = \frac{1}{2}(B + D) \] Solving the relations shows: \[ B \text{ is the highest} \]