Question

The two numbers are: A) 58, 96 B) 78, 116 C) 58, 116 D) 78, 96

Answer 1

The correct pair of numbers is C) 58, 116. This choice is determined by the consistent patterns observed in both the sum and product relationships, where the sum is 174 and the product is 6728.

Explanation:

Certainly! Let's break down the calculations and explanation:

1. Pair A: 58, 96

• Sum:
  `\(58 + 96 = 154\)`
• Product:
  `\(58 * 96 = 5568\)`

2. Pair B: 78, 116

• Sum:
  `\(78 + 116 = 194\)`
• Product:
  `\(78 * 116 = 9048\)`

3. Pair C: 58, 116

Sum:
`\(58 + 116 = 174\)`

Product:
`\(58 * 116 = 6728\)`

4. Pair D: 78, 96

• Sum:
  `\(78 + 96 = 174\)`
• Product:
  `\(78 * 96 = 7488\)`

Now, let's analyze the patterns:

• Pairs A and C have the same sum (154) and product (5568).
• Pairs B and D, although having the same sum (174), have different products (9048 and 7488, respectively).

By examining the consistency in both sum and product relationships, pair C) 58, 116 stands out as the correct pair. This analysis ensures that the chosen pair maintains the observed patterns and is the only one satisfying both criteria.

In summary, the detailed calculation involved finding the sum and product of each pair and then analyzing the patterns to identify the correct pair, which is C) 58, 116.