If 45 ÷ 3 + 4 × A – 48 ÷ 24 + 4 = 1, then what is the value of A?

Question

Accepted Answer

Let's solve the equation step by step:

Given: 45 ÷ 3 + 4 × A – 48 ÷ 24 + 4 = 1

Step 1: Calculate 45 ÷ 3 = 15
Step 2: Calculate 48 ÷ 24 = 2

So, the equation becomes:
15 + 4A – 2 + 4 = 1

Step 3: Combine constants:
(15 - 2 + 4) + 4A = 1
(13 + 4) + 4A = 1
17 + 4A = 1

Step 4: Isolate 4A:
4A = 1 - 17
4A = -16

Step 5: Solve for A:
A = -16 / 4 = -4

But let's check the calculation again:

15 + 4A - 2 + 4 = 1
(15 - 2 + 4) + 4A = 1
(13 + 4) + 4A = 1
17 + 4A = 1
4A = 1 - 17 = -16
A = -4

Wait, the calculation above gives A = -4, but the answer key marks −2 as correct. Let's check the arithmetic carefully.

Step-by-step:
45 ÷ 3 = 15
48 ÷ 24 = 2
So:
15 + 4A - 2 + 4 = 1
(15 - 2 + 4) + 4A = 1
(13 + 4) + 4A = 1
17 + 4A = 1
4A = 1 - 17 = -16
A = -4

So the correct answer is actually -4, not -2.

Therefore, the correct option is option 4: -4.

Answer

Answer

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