If 𝑎a is increased by 20% and 𝑏b is decreased by 20%, the resulting numbers will be equal. What is the ratio of 𝑎a to 𝑏b?

Question

If 𝑎a is increased by 20% and 𝑏b is decreased by 20%, the resulting numbers will be equal. What is the ratio of 𝑎a to 𝑏b?
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Solution 1

Let's solve this step by step:

  1. If "a" is increased by 20%, it becomes 1.2a.
  2. If "b" is decreased by 20%, it becomes 0.8b.
  3. According to the problem, these two resulting numbers are equal. So, we can set up the equation 1.2a = 0.8b.
  4. To find the ratio of a to b, we need to isolate a/b. We c Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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