Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $7$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

ABJeIIy Apr 3, 2024

#1**+1 **

*Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $7$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?*

Call the smallest integer x.

(x) + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 7 • (x+6)

7x + 21 = 7x + 42

I don't see how you can get a solution to the problem as stated.

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Bosco Apr 3, 2024