SOLUTION: Two consecutive even numbers were multiplied. After 2 was added to each of the numbers, their product was increased by 136. What are the 2 numbers?

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Let x = the first consecutive number
Let x+2 = when two is added to the first consecutive number
Let x+2 = second even consecutive number
Let x+4 = when two is added to the second consecutive number
so when multiplied together:
=
And when multiplied together AFTER 2 has been added to each:

the second product is 136 greater than the first

Subtract from both sides:

Subtract 2x from both sides:

subtract 8 from both sides:

Divide by 4

So the first number is 32, the second consecutive number is 34.
check your results:
32*34 = 1088
Add two to both numbers:
34*36 = 1224
1224-1088=136