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The sum of four consecutive integers is 266. What are the integers?

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Question

The sum of four consecutive integers is 266. What are the integers?

Sum
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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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Chapter 4: Linear Equation In One Variable - Exercise [Page 119]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 4 Linear Equation In One Variable
Exercise | Q 94. | Page 119
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