Question

What is the value of XLVI + LXX?

• A. CXIV
• B. CXVI
• C. XXVI
• D. XXIV

Answer 1

The correct option is B CXVI

Let us first convert the Roman numerals into Hindu-Arabic numerals.
We know that,
I = 1,
V = 5,
X = 10,
L = 50
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.

$\Rightarrow$ XLVI = (50 - 10 ) + 5 + 1
= 40 + 5 + 1
= 46
$\Rightarrow$ LXX = 50 + 10 + 10
= 70
Adding the given numbers we get,
$\Rightarrow$ XLVI + LXX = 46 + 70
$\Rightarrow$ XLVI + LXX = 116

We can write 116 as,
116 = 100 + 10 + 6
Changing 116 into Roman numerals we get,
$\Rightarrow$ 116 = C + X + VI
$\Rightarrow$ 116 = CXVI

$\therefore$ XLVI + LXX = CXVI