Step-by-step explanation:
If one number is increased by a factor of 3 and the other is decreased by a factor of 6, the product of the two numbers will change. Let's say the original numbers are x and y.
If we increase x by a factor of 3, it becomes 3x.
If we decrease y by a factor of 6, it becomes y/6.
So, the new product would be (3x) * (y/6) = (3/6)xy = (1/2)xy.
In other words, the new product would be half of the original product.
