Final answer:
To find the correct value that when added to the sum of (20 + 2) equals the quotient of 36 ÷ 2, the correct equation should be 36 ÷ 2 = A + (20 + 2), and A should be equal to -4; however, with all positive options, this suggests an error in the question.
Step-by-step explanation:
To find the quotient of 36 ÷ 2, which equals 18, we must determine what number needs to be added to the sum of (20 + 2) to equal 18. Let's start with the sum (20 + 2) which equals 22. To find what we need to add to 22 to get 18, we would actually need to subtract 22 from 18, since 22 is already greater than 18. This would result in a negative number, which indicates that there might be an error in the approach or the initial equation. Instead, let's rephrase the question properly to make it accurate: "Find the missing number A such that 36 ÷ 2 = (20 + 2) + A". Computing the left side of the equation gives us 36 ÷ 2 which equals 18. Now, we solve for A: 18 = 22 + A. Subtracting 22 from both sides gives us A = 18 - 22, which results in A = -4. However, since all options are positive, let's assume the question intended for us to find the positive difference. The correct equation should then be 36 ÷ 2 = A + (20 + 2). Using this corrected equation and the previously calculated quotient of 18, we find that A must be 18 - 22, which is -4, but in the context of the given options, it indicates an error in the question as no provided choice matches.