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It will be Odd if the original number was Odd - you have O + O + O = (O + O) + O = E + O = O

Otherwise it will be Even if the original number was Even - you have E + E + E = (E + E) + E = E + E = E

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Algebraically:

For an odd number x = 2n + 1 where n is an integer

3x = 3 × (2n + 1)

= 6n + 3

= 6n + 2 + 1

= 2(3n + 1) + 1

= 2m + 1 where m = 3n + 1

which is an odd number

For an even number x = 2n where n is an integer

3x = 3 × 2n

= 6n

= 2(3n)

= 2m where m = 3n

which is an even number

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