Question

XLVI + LXX = ______.

• A. CXIV
• B. CXVI
• C. XCIV
• D. XCVI

Answer 1

The correct option is

A

CXVI

Let us first convert the Roman numerals into Hindu-Arabic numerals.

When a Roman numeral with the larger value is on the left, we add the values together and when it is on the left, we subtract the values.

$\therefore$ XLVI = (50 - 10 ) + 5 + 1
= 56 - 10
= 46
LXX = 50 + 10 + 10
= 70

$\therefore$ XLVI + LXX = 46 + 70 = 116

But, 116 = 100 + 16 = C + XVI = CXVI.

$\therefore$ XLVI + LXX = CXVI

Hence, the correct answer is option (A)