Question

When two numbers are multiplied, the result is 864. If both the original numbers were doubled and then multiplied, what would the result have been?

Answer 1

27 ×32 = 864

if both no. are doubled so,

27×2= 54

32×2=64

so, 54x64 = 3456

Answer 2

Answer:

After the original factors are doubled and then multiplied, the result is 3456.

Step-by-step explanation:

Given statement: If two numbers are multiplied, we get the result $864$.

Two factors of the given number $864$ are: $2\times432$

On multiplying $2$ and $432$, we get the product $864$.

Now, let's double the factors of $864$ and multiply them:

$(2\times2)\times(432\times2)\\=4\times864\\=3456$

Thus, after doubling the factors and multiplying them, the result is $3456$.