Question

The sum of two numbers is thirteen. Using x to represent the larger 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

Let x be the smaller and y be the largest number.
Since , we deduce
Now, for the translation: "two more than the larger number" is , while "twice the smaller" is
Their sum is

And since we know that , we have