Consider two numbers \[A\] which is equal to \[200\] and \[B\] which is equal to \[105\]. The difference of these two numbers gives \[C\] . \[C\] is then added to another number \[D\] which is equal to \[ - 55\] so as to give a number \[E\] . Determine the value of \[E\] ?
A. \[40\]
B. \[ - 50\]
C. \[ - 55\]
D. \[95\]

Hint:Given two numbers \[A\] and \[B\] equal to \[200\] and \[105\] respectively. The difference can be easily calculated by subtracting \[B\] from \[A\], which gives us the value of \[C\] . And then \[C\] is added to \[D\] to give us another number \[E\] , which is the required answer.

Complete step-by-step answer:
In the question, it is given that the value of \[A = 200\] and the value of \[B = 105\] .
The difference of \[A\] and \[B\] \[ = A - B = 200 - 105 = 95\]
Therefore, according to question \[A\; - B = C = 95\]
The value of \[D = - 55\]
Then D is added to the C
So, \[C + D = 95 + \left( {-55} \right){\text{ = }}40\]
Therefore, \[C + D = E = 40\]
Hence, \[40\] is the required answer.

So, the correct answer is “Option A”.

Note:Whenever two numbers p and q are added together such that p is negative and q is positive, the sign of the resultant number will be determined as follows: if the magnitude of p is greater than q then the result will be negative and if the magnitude of p is smaller than that of q, the result will be positive.