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zhannawk [14.2K]
2 years ago
13

The sum of three consecutive integers is 345. find the three integers.

Mathematics
2 answers:
Yanka [14]2 years ago
5 0
X - 1 + x + x + 1 = 345
Consecutive means that each member differs by one. Put another way you add one to the previous number to get the next number.

3x = 345
x = 115
x - 1 = 114
x + 1 = 116
Ksenya-84 [330]2 years ago
4 0

Our three consecutive integers can be represented as

X ← <em>first integer</em>

X + 1 ← <em>second integer</em>

X + 2 ← <em>third integer</em>

Since the sum of our three consecutive integers is 345, our equation will read

X + X + 1 + X + 2 = 345

When we simplify on the left, our equation will now read

3x + 3 = 345

      -3      -3  ← subtract 3 on both sides

      3x = 342 ← divide both sides by 3

        X = 114

first integer = 114

second integer = 114 + 1 = 115

third integer = 114 + 2 = 116

Therefore, the three consecutive integers are 114, 115, and 116.

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