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Let the two numbers be X and Y

Sum of the two numbers = 5

⇛ X+Y = 5-----(1)

Difference of their squares = 5

⇛ X²-Y² = 5

⇛(X+Y)(X-Y) = 5

⇛5(X-Y) = 5

⇛X-Y = 5/5

⇛ X-Y = 1

The difference of the two numbers = 1. Ans.

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