Read the following axioms:

(i) Things which are equal to the same thing are equal to one another.

(ii) If equals are added to equals, the wholes are equal.

(iii) Things which are double of the same thing are equal to one another.

Check whether the given system of axioms is consistent or inconsistent

(i) This statement is Euclid's first Axiom.

(ii) This statement is Euclid's Second Axiom.

(ii) This statement is true if we apply Euclid's first Axiom.

Let 2a = b and 2a = c

then both b & c are equal to 2a i.e., b = c

which is consistent with the First Axiom of Euclid.

So, the given system of axioms is consistent.