You can put this solution on YOUR website! One positive number is 2 more than twice another. If their product is 144, find the numbers.
The first sentence basically says: (x is 2 more than twice y).
We also are told that the product of the 2 numbers is 144: .
Using substitution, x can be replaces with 2y + 2, to give us .
We now solve this equation: .
Divide everything by 2: .
Subtract 72 from both sides to get: .
Factor the left side:
So y=-9 or y=8. Since the question says the number is positive, we don't use -9.
So y = 8. Go back to the very first equation: x = 2y + 2. plug in 8 for y and we get x = 18. So the two numbers are 8 and 18.
You can check this by multiplying 8 and 18, to make sure you get 144.
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