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The odd number is 459.
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Twice means two times

Let x be the number
    twice the number = 2x

2x = 918

Divide both side of equation by 2
2x/2 = 918/2

x = 459.     This number is an odd integer because it ends in 9.

Do you know that odd integers are numbers with 1,3,5,7,9 in their ones digits?

And even integers are numbers with 2,4,6,8,0 in their ones digits. :-)