If 5 and 8, 3 and 9, 2 and 6 and 1 and 4 exchange their values, what is the value of 365 419?

Options

A. 9 2 8 1 4 3
B. 9 2 8 4 1 3
C. 9 2 8 4 3 1
D. 9 8 2 1 4 3

Explanation

To solve the problem, we need to follow these steps:

### Step 1: Understand the value exchanges
We have pairs of numbers that will exchange their values:
- 5 ↔ 8
- 3 ↔ 9
- 2 ↔ 6
- 1 ↔ 4

### Step 2: Write down the original number
The original number we need to evaluate is 365419.

### Step 3: Identify each digit in the original number
We will break down the number 365419 into its individual digits:
- 3
- 6
- 5
- 4
- 1
- 9

### Step 4: Apply the value exchanges to each digit
Now we will replace each digit according to the exchange rules:
- 3 will become 9 (because 3 ↔ 9)
- 6 will become 2 (because 2 ↔ 6)
- 5 will become 8 (because 5 ↔ 8)
- 4 will become 1 (because 1 ↔ 4)
- 1 will become 4 (because 1 ↔ 4)
- 9 will become 3 (because 3 ↔ 9)

### Step 5: Write down the new digits
After applying the exchanges, we get:
- 3 → 9
- 6 → 2
- 5 → 8
- 4 → 1
- 1 → 4
- 9 → 3

### Step 6: Combine the new digits to form the new number
Now we combine the new digits in the same order:
- New number = 928413

### Final Answer
The value of 365419 after the exchanges is **928413**.

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