Question

Topic- Linear Equations
If the sum of 3 consecutive integers is less than 75 find the cube of the largest possible integer.

Answer 1

A pair of integers is consecutive if their difference is 1. That means that there is no integer between them. An example of 3 consecutive integers might be 4, 5, 6. or -1, -2, -3.

So if you let the first integer be x, the next integer is x + 1, and the third integer is x + 2.

The word sum means add.

x + (x+1) + (x+2) = 75

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