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Question
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.
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Solution
Let the equal sale of two salesmen in August be x.
In September, each salesman doubles his sales of August.
Thus, sales of first salesmen is 2x and sales of second salesman is 2x.
According to Euclid’s axioms, things which are double of the same things are equal to one another.
So, in September their sales are again equal.
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Read the following axioms:
- Things which are equal to the same thing are equal to one another.
- If equals are added to equals, the wholes are equal.
- Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.
