Find the value of LVIII + LXXXIX + XXXII - XCIV .

Options

A. XCIX
B. XCVIII
C. LXXXV
D. CVII

Answer

To solve the expression LVIII + LXXXIX + XXXII - XCIV, we will first convert each Roman numeral into its equivalent Arabic numeral (decimal) value, perform the arithmetic operations, and then convert the result back into Roman numerals if necessary.

### Step 1: Convert Roman Numerals to Arabic Numerals
1. **LVIII**:
- L = 50
- V = 5
- III = 3
- Total = 50 + 5 + 3 = **58**

2. **LXXXIX**:
- L = 50
- XXX = 30
- IX = 9
- Total = 50 + 30 + 9 = **89**

3. **XXXII**:
- XXX = 30
- II = 2
- Total = 30 + 2 = **32**

4. **XCIV**:
- XC = 90
- IV = 4
- Total = 90 + 4 = **94**

### Step 2: Perform the Arithmetic Operations
Now, we substitute the Arabic numeral values back into the expression:
\[ 58 + 89 + 32 - 94 \]

1. **Add the first two numbers**:
\[ 58 + 89 = 147 \]

2. **Add the third number**:
\[ 147 + 32 = 179 \]

3. **Subtract the last number**:
\[ 179 - 94 = 85 \]

### Step 3: Convert the Result Back to Roman Numerals
Now we need to convert 85 back into Roman numerals:
- 85 = 50 (L) + 30 (XXX) + 5 (V)
- Therefore, 85 in Roman numerals is **LXXXV**.

### Final Answer
The value of LVIII + LXXXIX + XXXII - XCIV is **LXXXV**.

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