the numbers are:
71, 72, 73
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the sum of three consecutive numbers is 216. What are the three numbers?
For 216 the numbers are 70, 72 and 74. For 238 the numbers are 58, 59, 60 and 61.
19, 20, 21
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}
Let the 3 consecutive numbers be (a-1), a, and (a+1) So, (a-1) + (a) + (a+1) = 216 You add the left-hand side and get: 3a =216 You divide and get: a = 216/3 = 72 So, (a-1) = 72-1 = 71 a = 72 (a+1)= 72+1 = 73 Check: 71+72+73 = 216