Question

Thelettersa,b,c,d,eandfeachrepresentsoneandonlyoneofthenumbers1,2,3,4,5 and 6. The sum of a and b is 5 and the difference between c and d is 5. Of the list, e is the greatest in value. What is the value of e? (A) 4 (B) 6 (C) 2 (D) 3 (E) 5

Answer 1

The value of e is 6.

Therefore, the correct answer is: option b) 6

Step-by-step explanation:

The question asks for the value of e given the following conditions:

1. The sum of a and b is 5.
2. The difference between c and d is 5.
3. e is the greatest value.

Based on the given information, we can deduce the following:

• If a + b = 5, then a = 1 and b = 4 (since they are distinct positive integers whose sum is 5).
• If c - d = 5, then c = 9 and d = 4 (since they are distinct positive integers whose difference is 5).
• Since e is the greatest value, it must be 6 (since it is one of the remaining numbers: 2, 3, 5, and 6).

Therefore, the value of e is 6.