Find two consecutive even integers such that the smaller added to three times the larger is equal to 150

So firstly, our two integers are x and x + 2. And we know that the sum of the smaller integer, x, and 3 times the larger integer, x + 2, is 150. Using what we know, our equation is

Firstly, foil 3(x + 2):

Next, combine like terms:

Next, subtract 6 on both sides:

And lastly, divide 4 on both sides and your answer will be

Now since we know that the smaller integer is 36, add 2 to 36 to get the larger integer, which is 38.

In short, the smaller integer is 36 and the larger integer is 38.

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