The problem states that a set of 4 consecutive integers has a sum of 42. We need to find the least of the 4 integers.

AlgebraLinear EquationsConsecutive IntegersProblem Solving
2025/5/12

1. Problem Description

The problem states that a set of 4 consecutive integers has a sum of
4

2. We need to find the least of the 4 integers.

2. Solution Steps

Let xx be the smallest of the four consecutive integers. Then the four consecutive integers are xx, x+1x+1, x+2x+2, and x+3x+3.
The sum of these integers is given as
4

2. So, we have the equation:

x+(x+1)+(x+2)+(x+3)=42x + (x+1) + (x+2) + (x+3) = 42
Combining the terms, we get:
4x+6=424x + 6 = 42
Subtracting 6 from both sides:
4x=4264x = 42 - 6
4x=364x = 36
Dividing by 4:
x=364x = \frac{36}{4}
x=9x = 9
Thus, the four consecutive integers are 9, 10, 11, and
1

2. The least of these integers is

9.

3. Final Answer

9

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