Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?

The first problem is translating the word problem into a math problem.

Let n = one of the even integers Let n+2 = the other integer

Now let us write an equation and solve it:

3 (n+2) = n - 10 This equation expresses what is written in the word problem.

3 (n+2) = n - 10

3n + 6 = n - 10

3n - n = - 10 - 6

2n = - 16

n = - 8

n+2 = - 6