Which of the following equals 260?

CXCII + LXVIII

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CLXXII + LXXXI

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CLXII + LXXI

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CLXXII + LXXXIX

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Solution

The correct option is A CXCII + LXVIII
Let us convert the Roman numerals to Hindu-Arabic numerals.

CXCII = 100 + (100 - 10 ) + 1 + 1
= 100 + 100 + 1+ 1 - 10
= 192
LXVIII = 50 + 10 + 5 + 1 + 1 + 1 = 68
Thus, CXCII + LXVIII = 192 + 68 = 260.

CLXXII = 100 + 50 + 10 + 10 + 1 + 1 = 172
LXXXI = 50 + 10 + 10 + 10 + 1 = 81

Thus, CLXXII + LXXXI = 172 + 81 = 253.

CLXII = 100 + 50 + 10 + 1 + 1 = 162
LXXI = 50 + 10 + 10 + 1 = 71

Thus, CLXII + LXXI = 162 + 71 = 233.

CLXXII = 100 + 50 + 10 + 10 + 1 + 1 = 172
LXXXIX = 50 + 10 + 10 + 10 + (10 - 1)
= 89

Thus, CLXXII + LXXXIX = 172 + 89 = 181.

Therefore, the option CXCII + LXVII equals 260.

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