Select the set in which the numbers are related in the same way as the numbers of the following set.
(26, 15, 48)
(36, 25, 63)
O (46, 65, 110)
O (46, 85, 110)
O (48, 65, 110)
O (76, 65, 110)

Let's analyze the pattern in the given set: (26, 15, 48).

We'll focus on how the numbers in each set might be related. Typically, they could be related by addition, subtraction, multiplication, division, or some other arithmetic operation. Let's check each possibility:

### Set (26, 15, 48):
- 26 + 15 = 41 (does not match 48).
- 26 × 2 - 4 = 48 (This seems plausible).

Now, let's check if the same pattern holds for the provided options:

### Option 1: (46, 65, 110)
- 46 × 2 - 4 = 88 (not 110).

### Option 2: (46, 85, 110)
- 46 × 2 - 4 = 88 (not 110).

### Option 3: (48, 65, 110)
- 48 × 2 - 4 = 92 (not 110).

### Option 4: (76, 65, 110)
- 76 × 2 - 4 = 148 (not 110).

None of these sets follow the same rule exactly as (26, 15, 48). It seems there's no clear set that follows the exact same pattern as the first, but the pattern \( \text{First Number} \times 2 - 4 \) was closest.

If you'd like further details on alternative patterns or a new approach, feel free to ask! Here are some related questions:

1. How do we systematically test relationships in number sets?
2. What are the most common patterns for number relations in sets?
3. How do we apply patterns involving multiplication and subtraction?
4. Can sequences of numbers follow multiple mathematical rules?
5. How do prime numbers play a role in number set relations?

**Tip:** When working with number sets, always try multiple operations (addition, multiplication, etc.) to uncover potential patterns.

Select the set in which the numbers are related in the same way as the numbers of the following set: (26, 15, 48). (36, 25, 63) O (46, 65, 110) O (46, 85, 110) O (48, 65, 110) O (76, 65, 110)

Explore how to identify arithmetic patterns in sets of numbers, using the example of (26, 15, 48) and other sets for comparison. Learn key techniques such as multiplication and subtraction to find relationships between numbers. Suitable for Grades 5-7 students.

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