Question

The sum of two numbers is thirty seven. Using x to represent the larger of two numbers, translate "the difference between nine more than twice the larger number and the sum of the smaller number and three" into a variable expression

Answer 1

Explanation:

Let x represent the larger number.

Let y represent the smaller number.

The sum of two numbers is thirty seven. This means that the smaller number would be 37 - x

The translation into a variable expression for the the difference between nine more than twice the larger number and the sum of the smaller number and three would be

2x + 9 - (37 - x + 3)

Opening the parenthesis and putting the constants together, it becomes

2x + 9 - 37 + x - 3

2x + x + 9 - 37 - 3

3x - 31