Question

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

Answer 1

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.