Answer :

As the numbers are consecutive they will be one after another
Let the numbers are x, x + 1, x + 2

According to the question,
2x + 3(x + 1) + 4(x + 2) = 74
Opening brackets we get,

2x + 3x + 3 + 4x + 8 = 74

9x = 74 - 8 - 3
9x = 63

Also, 
x + 1 = 7 + 1 = 8
x + 2 = 7 + 2 = 9
Thus, the numbers are, 7, 8 and 9.

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