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The four consecutive odd numbers which add up to 120 are 27, 29, 31 and 33.

It can be found out as follows:

Let 'x' be the smallest odd number.

The next odd numbers will be 'x+2', 'x+4', 'x+6'.

The addition of these four numbers will give 120.

Therefore,

x+(x+2)+(x+4)+(x+6)=120

4x+12=120

x+3=30

Therefore, x=27.

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