Question

The sum of two numbers is nine. Using × to represent the larger of the two numbers, translate "the difference between four more than the larger number andtwice the smaller number" into a variable expression. Then simplify.

Answer 1

Given that the sum of two numbers is nine.

Here, x represents the larger of the two numbers, so (9 - x) represents the smaller number.

We have to change the difference between four more than the larger number and

twice the smaller number into a variable expression. So, the expression is:

`x+4-(2(9-x))`

The simplification of the expression is as follows:

`\begin{gathered} =x+4-(18-2x) \\ =x+4-18+2x \\ =3x-14 \end{gathered}`

Thus, the answer is 3x - 14.