Easy
Solve the following question using appropriate Euclid's axiom:
Two salesmen make equal sales during the month of August. In September,each salesman doubles his sale of the month of August. Compare their sales in September.
Two salesmen make equal sales during the month of August. In September,each salesman doubles his sale of the month of August. Compare their sales in September.
(N/A) Let the sales of two salesmen in the month of August be $x$ and $y$.
Since they make equal sales during the month of August,we have $x = y$.
In September,each salesman doubles his sale of the month of August,so their sales become $2x$ and $2y$.
According to Euclid's second axiom,'If equals are added to equals,the wholes are equal',and more specifically,the axiom stating 'Things which are double of the same things are equal to one another' applies here.
Since $x = y$,it follows that $2x = 2y$.
Therefore,the two salesmen make equal sales in the month of September.
Since they make equal sales during the month of August,we have $x = y$.
In September,each salesman doubles his sale of the month of August,so their sales become $2x$ and $2y$.
According to Euclid's second axiom,'If equals are added to equals,the wholes are equal',and more specifically,the axiom stating 'Things which are double of the same things are equal to one another' applies here.
Since $x = y$,it follows that $2x = 2y$.
Therefore,the two salesmen make equal sales in the month of September.
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