Use the following setup and given equation to find the solution:

1st integer = x
2nd integer = x + 2
3rd integer = x + 4
The sum of the integers is : x + x + 2 + x + 4 = 222
. What is the 2nd integer?

Responses

64
64

74
74

111
111

222

1 answer

To find the solution, we need to set up and solve the equation that represents the sum of the integers.

The sum of the integers is given by the equation: x + (x + 2) + (x + 4) = 222.

Simplifying the equation: 3x + 6 = 222.

Subtracting 6 from both sides: 3x = 216.

Dividing both sides by 3: x = 72.

Since the 2nd integer is represented by x + 2, we can substitute x = 72 into the expression x + 2 to find the 2nd integer.

2nd integer = 72 + 2 = 74.

Therefore, the 2nd integer is 74.