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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Question 5338: 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?
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
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:
x%2A%28x%2B2%29 = x%5E2%2B2x
And when multiplied together AFTER 2 has been added to each:
%28x%2B2%29%2A%28x%2B4%29+=+%28x%5E2%2B6x%2B8%29
the second product is 136 greater than the first
x%5E2%2B6x%2B8=x%5E2%2B2x%2B136
Subtract x%5E2 from both sides:
6x%2B8=2x%2B136
Subtract 2x from both sides:
4x%2B8=136
subtract 8 from both sides:
4x=128
Divide by 4
x=32
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