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.