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Question

# Which of the following is true?

A
LXXIV = 66
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B
CXXI = 111
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C
CXLV = 145
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D
XLIX = 59
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Solution

## The correct option is C CXLV = 145When a Roman numeral with the larger value is on the left, we add the values together and when it is on the right, we subtract the values. Thus, CXXI = 100 + 10 + 10 + 1 = 121. CXLV = 100 + (50 - 10) + 5 = 155 - 10 = 145 LXXIV = 50 + 10 + 10 + (5 - 1) = 75 - 1 = 74 XLIX = (50 - 10) + (10 - 1) = 50 + 10 - 10 - 1 = 49 Thus, CXLV = 145 is the correct answer.

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