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Question
The sum of four consecutive integers is 266. What are the integers?
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Solution
Let the four consecutive integers be x, x + 1, x + 2 and x + 3.
According to the question,
x + x + 1 + x + 2 + x + 3 = 266 ...[Given]
⇒ 4x + 6 = 266
⇒ 4x = 266 – 6
⇒ 4x = 260
⇒ x = `260/4`
∴ x = 65
Hence, the four consecutive integers are 65, 65 + 1, 65 + 2 and 65 + 3, i.e. 65, 66, 67 and 68.
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