The $\ldots \ldots \ldots$ was an important manual for geometric structures in ancient India.

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.

In the Indus Valley Civilisation (about $3000 \, BC$),the bricks used had the ratio of $\ldots \ldots$ for length,breadth,and height,respectively.

Ram and Ravi have the same weight. If they each gain weight by $2\, kg$,how will their new weights be compared?

Axioms are assumed

Solve the equation $a-15=25$ and state which axiom do you use here.