Which of the following options are equal to 66?

LXVI

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LXIV

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LXXXVIII - XXII

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XLIX + XVI

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Solution

The correct options are
A LXVI
C LXXXVIII - XXII
Note that 66 = 60 + 6 = LX + VI = LXVI.

LXXXVIII = 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
= 88
XXII = 10 + 10 + 1 + 1 = 22.

Therefore, LXXXVIII - XXII = 88 - 22 = 66.

Also, XLIX = 50 - 10 + 10 - 1 = 49 and
XVI = 10 + 5 + 1 = 16.
Therefore, XLIX + XVI = 49 + 16 = 65.

Lastly, LXIV = 50 + 10 + 5 - 1 = 64.

Thus, the options that equal 66 are LXVI and LXXXVIII - XXII.

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