n this subtraction, the boxes contain the digits 3, 4, 6, and 9 in some order and the circles contain the digits 4, 5, 8, and 9 in some order. What four-digit number is represented by boxes ?

Lack enough data.

To find the four-digit number represented by the boxes, we need to subtract the four-digit number represented by the circles from it.

Let's start by listing the digits for the boxes: 3, 4, 6, and 9.

And the digits for the circles: 4, 5, 8, and 9.

Now let's subtract the two numbers, starting from the rightmost digit:

9 - 9 = 0 (no borrowing)

Next, from left to right:

6 - 8 = -2 (we need to borrow)

In this case, we borrow 1 from the thousands place, making it 4 instead of 3, and add 10 to the tens place:

(6 + 10) - 8 = 8

Moving on:

4 - 5 = -1 (we need to borrow again)

This time we borrow 1 from the tens place, making it 7 instead of 6, and add 10 to the ones place:

(4 + 10) - 5 = 9

Finally:

3 - 4 = -1 (we need to borrow again)

This time we borrow 1 from the ones place, making it 8 instead of 7, and add 10 to the thousands place:

(3 + 10) - 4 = 9

So, the four-digit number represented by the boxes is 9080.

To solve this subtraction problem and find the four-digit number represented by boxes, we need to follow these steps:

Step 1: List all possible combinations of the digits in the boxes and circles.
- The boxes contain the digits 3, 4, 6, and 9 in some order.
- The circles contain the digits 4, 5, 8, and 9 in some order.

The possible combinations of the digits in the boxes are:
- 3469
- 3496
- 3649
- 3694
- 3946
- 3964
- 4369
- 4396
- 4639
- 4693
- 4936
- 4963
- 6349
- 6394
- 6439
- 6493
- 6934
- 6943
- 9346
- 9364
- 9436
- 9463
- 9634
- 9643

Step 2: Substitute each combination into the subtraction problem and check which one is correct.
- Subtract the number in circles from the number in boxes.
- Compare the result with the given subtraction problem.

Unfortunately, you haven't provided the subtraction problem itself, so I can't perform Step 2 and determine the correct combination and the four-digit number represented by boxes. Please provide the subtraction problem, and I'll be happy to guide you further.