Question

Solve and write the answer in Roman numerals.
a. $$LXVII-XLIX$$ c. $$XCV-XLVI$$ e. $$XXXVI-XXII$$
b. $$CXCII-XLV$$ d. $$MCD-CCCXXII$$ f. $$CDLX-CLXXX$$

Answer 1

Hint: To solve the above question, first of all, we will convert every roman number into a numeral and then perform a subtraction operation on numbers, then again convert the numeral into the roman number.

Complete step by step solution:
a. $$LXVII-XLIX$$
We will convert roman numbers given in question in numbers.
$$LXVII$$ : 67
$$XLIX$$ : 49
We will apply subtraction to solve question
$$LXVII-XLIX$$ = 67-49 = 18
Now, we will convert 18 into the roman number
$$\Rightarrow XVIII$$
b. $$CXCII-XLV$$
We will convert roman numbers given in question in numbers.
$$CXVII$$ : 117
$$XLV$$: 45
We will apply subtraction to solve question
$$CXCII-XLV$$= 117-45 = 72
Now, we will convert 72 into the roman number
$\Rightarrow LXXII$
c. $$XCV-XLVI$$
We will convert roman numbers given in question in numbers.
$$XCV$$ : 95
$$XLVI$$ : 46
We will apply subtraction to solve question
$$XCV-XLVI$$ = 95-46 = 49
Now, we will convert 49 into the roman number
$\Rightarrow XLIX$
d. $$MCD-CCCXXII$$
We will convert roman numbers given in question in numbers.
$$MCD$$ : 1400
$$CCCXXII$$ : 322
We will apply subtraction to solve question
$$MCD-CCCXXII$$ = 1400-322 = 1078
Now, we will convert 1078 into the roman number
1078 $$\Rightarrow MLXXVIII$$
e. $$XXXVI-XXII$$
We will convert roman numbers given in question in numbers.
$$XXXVI$$ : 36
$$XXII$$ : 22
We will apply subtraction to solve question
$$XXXVI-XXII$$ = 36-22 = 14
Now, we will convert 14 into the roman number
$$\Rightarrow XIV$$
f. $$CDLX-CLXXX$$
We will convert roman numbers given in question in numbers.
$$CDLX$$ : 460
$$CLXXX$$ : 180
We will apply subtraction to solve question
$$CDLX-CLXXX$$ = 460-180 = 280
Now, we will convert 280 into the roman number
280 $$\Rightarrow CCLXXX$$

Note:
We should keep remembering roman numbers of all one-digit numbers and unique numbers present in counting, which will help us convert every number to a roman number and vice versa and then perform operations on numbers.