Four times the difference of a number and three is seven less than the three times the number find the number round your answer to the nearest integer if necessary

Question

asked Jul 9, 2023 40.9k views

1 Answer

Alesch · Answer 1 · 2023-07-15T14:55:07+0000

The number is 5

1) Let's call this number by "n", so we can write out the following:

Note that four times the difference makes reference to the operation.

2) So let's move on, applying the Distributive Property

$\begin{gathered} 4(n-3)=3n-7 \\ 4n-12=3n-7 \\ 4n-3n-12=3n-3n-7 \\ n-12=-7 \\ n=12-7 \\ n=5 \end{gathered}$

As we can see we had to isolate n on one side.

3)Hence, the answer is 5