Find three consecutive natural numbers whose sum is 348.
Answers
Answer:
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Step-by-step explanation:
115 + 116 + 117 = 348
Answer:
Here we will use algebra to find three consecutive integers whose sum is 348. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 348. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 348
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 348
3X + 3 = 348
3X + 3 - 3 = 348 - 3
3X = 345
3X/3 = 345/3
X = 115
Which means that the first number is 115, the second number is 115 + 1 and the third number is 115 + 2. Therefore, three consecutive integers that add up to 348 are 115, 116, and 117.
115 + 116 + 117 = 348
We know our answer is correct because 115 + 116 + 117 equals 348 as displayed above.
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