6-68 Victor wants to play "Guess My Number."Use the clues below to figure out his number. Each part is a new game. Homework Help a. "When you double my number and subtract 9, you get my original number. What is my number?" b. "When you double my number and add 5, you get 17. What is my number?"

a. Let's denote the original number as x. According to the clue, when you double the number and subtract 9, you get the original number. This can be written as the equation 2x - 9 = x. Solving this equation for x gives x = 9.<br />b. Similarly, let's denote the number in this case as y. According to the clue, when you double the number and add 5, you get 17. This can be written as the equation 2y + 5 = 17. Solving this equation for y gives y = 6.