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The sum of four consecutive integers is 1290.The greatest of them is?Options220760324NONE

Question

The sum of four consecutive integers is 1290.The greatest of them is?Options220760324NONE

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Solution

Let's denote the four consecutive integers as x, x+1, x+2, and x+3.

Given that their sum is 1290, we can write the equation as:

x + (x+1) + (x+2) + (x+3) = 1290

Solving this equation:

4x + 6 = 1290

Subtract 6 from both sides:

4x = 1284

Divide by 4:

x = 321

So, the four consecutive numbers are 321, 322, 323, and 324.

Therefore, the greatest of them is 324. So, the correct option is 324.

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