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Question

In a conversation, Anand said his savings of the month is same as that of Raju, Pankaj replied he also saves as much his monthly savings of Anand and Pankaj ? Write the Euclid's axiom for this situation.

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Solution

Let the savings of Anand of a month be x.
Since Raju's savings is same as Anand's saving.
Then, Raju's savings =x
Anand's savings = Raju's savings........(i)
Pankaj's savings= Raju's savings.........(ii)
From eq(i) and (ii)
Anand's savings= Pankaj's savings.This is the relation between them.
Since, things which are equal to the same thing are equal to one another. This is the euclid axiom which has been used.

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