What will you add to DCCCXLI to make it MLI ?

Options

A. MCIX
B. XCII
C. CCX
D. CLIV

Answer

To solve the problem of what to add to DCCCXLI to make it MLI, we will first convert the Roman numerals into their respective decimal (Arabic) values, perform the addition, and then convert back to Roman numerals if necessary.

### Step-by-Step Solution:

1. **Convert DCCCXLI to Decimal:**
- D = 500
- CCC = 300 (C = 100, so CCC = 100 + 100 + 100)
- XL = 40 (L = 50, and X before L means we subtract 10 from 50)
- I = 1
- Now, add these values together:
\[ 500 + 300 + 40 + 1 = 841 \]
- Therefore, DCCCXLI = 841.

2. **Convert MLI to Decimal:**
- M = 1000
- L = 50
- I = 1
- Now, add these values together:
\[ 1000 + 50 + 1 = 1051 \]
- Therefore, MLI = 1051.

3. **Find the Difference:**
- Now, we need to find out what we need to add to 841 to get 1051:
\[ 1051 - 841 = 210 \]

4. **Convert 210 to Roman Numerals:**
- 200 = CC (C = 100, so CC = 100 + 100)
- 10 = X
- Therefore, 210 in Roman numerals is CCX.

5. **Conclusion:**
- To make DCCCXLI (841) into MLI (1051), you need to add CCX (210).

### Final Answer:
You will add CCX to DCCCXLI to make it MLI.

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