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Prove that a number `x` can be odd or even but cannot be both.

Prove that a number `x` can be odd or even but cannot be both.

Grade:11

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
suppose x is both
x=2k+1 by odd
x=2j by even
equating both imply 2(k-j) +1 = 0 , which not possible for any value of k, j imply x cannot be both.

sher mohammad
b.tech, iit delhi

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