Sunil and Shyam have the same weight if they each gain weight by 5kg how will their new weights be compared by axioms? Write the Euclid’s axiom that best support the answer.

According to the question, Sunil and Shyam have the same weight.

Let Sunil’s and Shyam’s weight be x kg each.

Then, they gain weight by 5 kg.

Sunil and Shyam gain weight by 5 kg each.

New weight of Sunil = (x + 5) kg

New weight of Shyam = (x + 5) kg

⇒ New weight of Sunil = New weight of Shyam

Since the initial weight is the same and the added weight is also the same, then the new weight is also the same.

It is best matched with Euclid’s axiom that says, if equals are added to equals then the whole is also equal. This is Euclid's second axiom.