Question

The sum of two consecutive even integers is 150. What are the two integers?

Answer 1

Answer:

The two integers are 74,76

Step-by-step explanation:

x = 1st integer

x+2 = consecutive even integer

x+x+2 =150

Combine like terms

2x+2 =150

Subtract 2 from each side

2x+2-2= 150-2

2x= 148

Divide by 2

2x/2 =148/2

x = 74

x+2 = 76

The two integers are 74,76

Answer 2

Consecutive even integers would mean the second number of the integers is 2 larger than the first. We can write the first integer as x and the second one as x + 2.
We know the sum of the integers is 150 so we can create the equation x + (x + 2) = 150.
Then we solve the equation but simplifying:
2x + 2 = 150
Subtract 2 from both sides
2x = 148
You can then divide both sides by 2
x = 74
x + 2 = 76. The two integers are 74 and 76