Question

If LXXIV=74, then the statement is
A. True
B. False

Answer 1

Hint: We will use the conversion rules of Roman symbols to Roman numerals to check if the given statement is true or false. We will find the value of LXXIV using the rule.

Complete step-by-step answer:
We will find the value of Roman symbol LXXIV to determine if the equation LXXIV=74 is true or false.
We will use the rules of conversion of Roman symbols to Roman numerals.
The rule states that when a symbol appears after a larger or equal symbol then the symbols are added.
This implies L, X, X and IV will be added to get the required number.
Now, we know that L represents 50 , X represents 10 and V represents 5.
Also, there is a rule of Roman numbers such that if a symbol is before a larger symbol then the symbol is subtracted from the larger number. Then the value of IV is 5-1 which is equal to 4.
Therefore, the value of the Roman symbol LXXIV is $50 + 10 + 10 + 4 = 74$
Therefore, the given value of LXXIV as 74 is correct and the given statement is true.
Hence, option A is correct.

Note: As it is known, a number is uniquely expressed by a Roman symbol. Therefore, we can also find the value of the 74 in Roman symbols. If the symbol matches the given symbol, then the statement is true. Also, in any Roman symbol, no symbol is repeated more than thrice.