Explanation:

Let’s break this puzzle down step by step:

- First, evaluate both sides as they stand:

Left: 4 + 6 × 7 - 27 ÷ 3

= 4 + 42 - 9

= 46 - 9

= 37

Right: 7 × 8 - 4 + 39 ÷ 3

= 56 - 4 + 13

= 52 + 13

= 65

- The two sides aren’t equal. The magic is to swap two numbers so both sides match.

Let’s check your options:

- Option 1: 8 and 7

Swap 7 and 8 in the right expression: becomes 8 × 7 - 4 + 39 ÷ 3

8 × 7 = 56, so calculation is unchanged, value is still 65. No help here.

- Option 2: 6 and 8

Swap 6 and 8 in both expressions:

Left: 4 + 8 × 7 - 27 ÷ 3 = 4 + 56 - 9 = 60 - 9 = 51

Right: 7 × 6 - 4 + 39 ÷ 3 = 42 - 4 + 13 = 38 + 13 = 51

Both sides now equal 51.

This works!

- Option 3: 3 and 4

If you swap 3 and 4, on the left you get division by 4 (which doesn’t match the right) and on the right, you get subtraction by 3, the numbers don't balance.

- Option 4: 6 and 4

Swap 6 and 4 in both expressions:

Left: 6 + 4 × 7 - 27 ÷ 3 = 6 + 28 - 9 = 34 - 9 = 25

Right: 7 × 8 - 6 + 39 ÷ 3 = 56 - 6 + 13 = 50 + 13 = 63

Still doesn’t match.

The only swap making both sides equal is swapping 6 and 8.