A is a number. Adding 5 and multiplying by 10. Subtract 8 from this multiplication is divided by 2, then the result becomes 151. What is the number A?

Options

A. 14
B. 18
C. 26
D. 32

Answer

To solve the problem step by step, we will follow the operations described in the question systematically.

### Step 1: Set up the equation
We start with the number \( A \). According to the problem, we first add 5 to \( A \):
\[ A + 5 \]

### Step 2: Multiply by 10
Next, we multiply the result by 10:
\[ 10 \times (A + 5) \]

### Step 3: Subtract 8
Then, we subtract 8 from this multiplication:
\[ 10 \times (A + 5) - 8 \]

### Step 4: Divide by 2
Now, we divide the entire expression by 2:
\[ \frac{10 \times (A + 5) - 8}{2} \]

### Step 5: Set the equation equal to 151
According to the problem, this result equals 151:
\[ \frac{10 \times (A + 5) - 8}{2} = 151 \]

### Step 6: Eliminate the fraction
To eliminate the fraction, we multiply both sides of the equation by 2:
\[ 10 \times (A + 5) - 8 = 302 \]

### Step 7: Add 8 to both sides
Next, we add 8 to both sides to isolate the term with \( A \):
\[ 10 \times (A + 5) = 310 \]

### Step 8: Divide by 10
Now, we divide both sides by 10 to solve for \( A + 5 \):
\[ A + 5 = 31 \]

### Step 9: Subtract 5 from both sides
Finally, we subtract 5 from both sides to find \( A \):
\[ A = 31 - 5 \]
\[ A = 26 \]

### Conclusion
The number \( A \) is 26.

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