9514 1404 393
Answer:
56, 60, 64
Explanation:
The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.
The numbers of interest are 56, 60, 64.
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Additional comment
For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.
Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.