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Here are two ways to solve this:
Intuitively:
three consecutive even integers with a sum of 42 must be centered around 42/3=14. The answer is 12, 14, and 16, which can be verified by adding them: 12+14+16=42
Or algebraically:
With N the lowest even integer:
N+N+2+N+4=42
3N=36
N=12
So the answer is 12, 14, and 16.
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Can you identify three consecutive even integers whose sum is 219?
No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.No.The sum of any number of even integers, consecutive or not, MUST be even. 219 is not even.
The sum of three consecutive even integers is -7Find the 3 integers?
There is no solution. The sum of multiple even integers will always be even, and -7 is odd.
What is sum of three consecutive even integers that equals 546?
The integers are 180, 182 and 184.
The sum of three consecutive even integers is 54 Find all three integers?
16+18+20= 54
The sum of three consecutive even integers that give you 151 and tha sum of three consecutive odd integers that give you 150?
There are no such answers. The sum of even numbers is even. The sum of odd numbers could be even, but the sum of three consecutive odd numbers is always odd. One could swap the questions to get potentially answerable questions: Sum of 3 consecutive EVEN integers = 150 48 + 50 + 52 = 150 unfortunately, we can already see that if we were to make these odd integers (add 1 to each), we would get 153, not 151. Sum of 3 consecutive ODD integers = 151 49 + 51 + 53 = 153 47 + 49 + 51 = 147 We can see that, whenever we slide our three consecutive integers up one, we raise the value of the sum up 3, and if we jump from odd to odd, or even to even, we raise each integer by 2, so we raise the sum by 6.
