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Question

What is the sum of XLV, XL and LXV in Roman numerals?

A
CC
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B
CL
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C
CLV
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D
LLL
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Solution

The correct option is B CL
When a Roman numeral with the larger value is on the left, we add the values together.

When a Roman numeral with the larger value is on the right, we subtract the values.

Thus, XLV = (50 - 10 ) + 5 = 40 + 5 = 45,
XL = 50 - 10 = 40 and
LXV = 50 + 10 + 5 = 65.

Therefore, XLV + XL + LXV = 150.

But, 150 = 100 + 50 = CL.

Thus, the sum of XLV, XL and LXV in Roman numerals is CL.




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