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Q: What are 3 consecutive integers whose sum is 75?

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37 and 38

23, 25, 27.

The integers are 24, 25 and 26.

37 and 38 are the only ones.

They are 24, 25 and 26, as well as the consecutive odd integers 23, 25 and 27.

Divide the sum of the three consecutive odd integers by 3: 225/3 = 75. The smallest of these integers will be two less than 75 and the largest will be two more than 75, so the three consecutive odd integers will be 73, 75, and 77.

24 + 25 + 26 = 75

Those three odd integers are 43, 45, and 47.

The numbers are 37 and 38.

* 71 * 73 * 75

They are: 75+76+77 = 228

7 23 + 25 + 27 = 75. The largest of these 3 integers is 27.

There is no set of four consecutive whole numbers whose sum is 75.

There is no set of 8 consecutive whole numbers whose sum is 75.

6

95

75 and 76

If sum were 75 the integers would be 24, 25 and 26, so the next lowest sum would be 23 + 24 + 25 ie 72. The answer is thus 23.

75 lies between two consecutive even integers, 74 and 76. The square root of 75 lies between 8 and 9.

75 = 40 + 35

5625

The two consecutive integers between which the square root of 75 lies are 8 and 9. 82 is 64 and 92 is 81.

20 + 25 + 30 = 75

The GCF of consecutive integers is 1.

24 + 25 + 26 = 75