60/3-1, 60/3 and 60/3+1 that is, 19, 20 and 21.
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19, 20, 21
3 x 4 x 5 = 60 The three consecutive numbers are 3, 4, and 5.
Their sum is -12
There are no three consecutive numbers that are squares. Otherwise, there are an infinite sets of squares of three consecutive numbers: for example, {1,4,9}, or {4,9,16} or {576, 625, 676}
Oh, what a happy little problem we have here! If we have three consecutive numbers, we can call them x, x+1, and x+2. When we add these together and set it equal to 175, we get 3x + 3 = 175. By solving this simple equation, we find that the three consecutive numbers are 58, 59, and 60.