Question

Find the incorrect statement from the following the expressions are written in roman numerals
c-x=xc. xi-ix=xx
DC-C=D
LXI-LIX=II

Answer 1

Answer:

$c - x = xc \\ xi - ix = xx$

those expressions are wrong

Answer 2

Answer:

The incorrect statement is XI - IX = XX

Step-by-step explanation:

Given,

The expressions,

(1) C - X = XC

(2) XI - IX = XX

(3) DC - C = D

(4) LXI - LIX = II

To find,

The incorrect statement from the above expressions.

Concept,

The roman numbers are the numerical representation of the numbers used by Romans.

Rules:

• I = 1

• V = 5

• X = 10

• L = 50

• C = 100

• D = 500

• M = 1000
• If the smaller roman number is written before the larger roman number then, we have to subtract the smaller roman number from the larger roman number.                                                                                               E.g. XL = L - X = 40
• If the smaller roman number is written after the larger roman number then, we have to add the smaller roman number to the larger roman number.                                                                                          E.g. LX = L + X = 60

Calculation,

(1) C - X = XC

Considering L.H.S

C - X = 100 - 10 = 90

Considering R.H.S

XC = 90.

As R.H.S = L.H.S

C - X = XC

(2) XI - IX = XX

Considering L.H.S

XI - IX = 11 - 9 = 2

Considering R.H.S

XX = 20.

As R.H.S ≠ L.H.S

XI - IX ≠ XX

(3) DC - C = D

Considering L.H.S

DC - C = 600 - 100 = 500

Considering R.H.S

D = 500.

As R.H.S = L.H.S

DC - C = D

(4) LXI - LIX = II

Considering L.H.S

LXI - LIX = 61 - 59 = 2

Considering R.H.S

II = 2.

As R.H.S = L.H.S

LXI - LIX = II

Therefore, the incorrect statement is XI - IX = XX

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