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1st number = x

2nd number = x + 1

(x + 1)2 - x2 = 35

x2 + 2x + 1 - x2 = 35

2x + 1 = 35

2x + 1 - 1 = 35 - 1

2x = 34

2x/2 = 34/2

x = 17

These numbers are 17 and 18.

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