Question

How will the product change if: one factor is increased 3 times, and the other one is decreased 6 time

Answer 1

decreased 2 times

Explanation:

Answer 2

Algebra

The product will be reduced 2 times i.e the product will be reduced to half

Explanation:

Let the product be
`P_(1)` and the two of its factors are a and b

So
`P_(1)` =
`a_(1\\)`×
`b_(1\\)`

Now if the factor
`a_(1\\)` is increased 3 times, then the new factor will be
`a_(2)`

so
`a_(2) = 3a_(1\\)`

The other factor
`b_(1\\)\\` is decreased 6 times, then the new factor will be
`b_(2)`

so
`b_(2 ) = (b_(1\\)\\)/(6)`

So the new product
`P_(2)` =
`a_(2) b_(2)`

⇒
`P_(2)\\` = 3×
`a_(1)`×
`\\ (b_(1\\)\\)/(6)`

So
`P_(2) = (P_(1)\\)/(2)`

Hence, the product will be reduced 2 times i.e the product will be reduced to half