Question

The sum of two numbers is twenty-five. Using x to represent the smaller of the two numbers, translate "the difference between four more than the larger number and twice the smaller number" into a variable expression. Then simplify.

Answer 1

If the sum of the two numbers is 25, we can represent the larger number as x + (smaller number)

The difference between four more than the larger number and twice the smaller number is:

(x + 4) - 2(x) = x + 4 - 2x = -x + 4

Now we can simplify the expression:

-x + 4

That is the variable expression for the difference between four more than the larger number and twice the smaller number.

Explanation: