Choose the set of numbers from the four alternative sets, which is similar to the given set.
Given set : (223, 324, 425)

Options

A. (223, 326, 437)
B. (451, 552, 636)
C. (554, 655, 756)
D. (623,723, 823)

Explanation

To solve the problem, we need to identify a set of numbers that follows the same pattern as the given set (223, 324, 425). The pattern in the given set can be described as follows:

1. The first number is \( x \).
2. The second number is \( x + 101 \).
3. The third number is \( x + 202 \).

Let's break this down step by step:

### Step 1: Identify the first number
The first number in the given set is 223. We can denote this as \( x \):
- \( x = 223 \)

### Step 2: Calculate the second number
The second number is obtained by adding 101 to the first number:
- Second number = \( x + 101 = 223 + 101 = 324 \)

### Step 3: Calculate the third number
The third number is obtained by adding 202 to the first number:
- Third number = \( x + 202 = 223 + 202 = 425 \)

### Step 4: Verify the pattern
The numbers in the given set (223, 324, 425) follow the pattern:
- First number: \( 223 \)
- Second number: \( 223 + 101 = 324 \)
- Third number: \( 223 + 202 = 425 \)

Now, we need to check the alternative sets to see which one follows the same pattern.

### Step 5: Check the alternative sets
Let's analyze each option:

**Option A:** (223, 324, 425)
- This is the same as the given set.

**Option B:** (451, 552, 754)
- First number: \( 451 \)
- Second number: \( 451 + 101 = 552 \)
- Third number: \( 451 + 202 = 653 \) (not 754, so this option does not follow the pattern)

**Option C:** (554, 655, 756)
- First number: \( 554 \)
- Second number: \( 554 + 101 = 655 \)
- Third number: \( 554 + 202 = 756 \) (this option follows the pattern)

**Option D:** (623, 724, 823)
- First number: \( 623 \)
- Second number: \( 623 + 101 = 724 \)
- Third number: \( 623 + 202 = 825 \) (not 823, so this option does not follow the pattern)

### Conclusion
The set that follows the same pattern as the given set is **Option C: (554, 655, 756)**.