Which two signs should be interchanged to make the given equation correct?

588 ÷ 28 × 32 + 72 – 160 = 760

The correct answer is – and +.

The original equation is:

588 ÷ 28 × 32 + 72 – 160 = 760

We need to find which two signs, when swapped, make this equation true. According to the correct answer, we interchange the – sign and the + sign.

After interchanging + and –, the equation becomes:

588 ÷ 28 × 32 – 72 + 160 = 760

Now let's evaluate the Left-Hand Side (LHS) step by step, following the standard order of operations (left to right for ÷ and ×, then + and –):

Step 1: Perform the division first (left to right):

588 ÷ 28 = 21

Step 2: Now perform the multiplication:

21 × 32 = 672

Step 3: Now perform the subtraction:

672 – 72 = 600

Step 4: Finally, perform the addition:

600 + 160 = 760

LHS = 760 = RHS ✓

The equation is now correct. Therefore, interchanging – and + makes the given equation valid.