Question

The things which are double of the same thing are equal to one another.
A.True
B.False
C.Ambiguous
D.Data insufficient

Answer 1

Hint: Let us assume that two variables a and b are equal to 2x . Hence we can see that both the variables take the value two times of x .It is clearly seen that they take the same value and a and b are equal.

Complete step-by-step answer:
Step 1:
Lets us assume that a = 2x
This means that a takes the value of two times of x
Same way let's assume b = 2x
This means that b also takes the value two times of x
We can see that a and b both take the same value .
Therefore we can conclude that a and b are equal
Hence the fact that the things which are double of the same thing are equal to one another is true.
The correct option is A.

Note: Alternative method :
Let a = 2x and b = 2x when a , b and x are arbitrary numbers or things.
The first axiom of Euclid states that “ things which are equal to the same are also equal to each other ”
So a = b
That is , the given statement is true.

Additional information :
AXIOMS OF EUCLID
Things which are equal to the same thing are also equal to one another.
If equals are added to equals, the wholes are equal.
If equals are subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.