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 can do this by dividing both sides of the equation by 1.2b. This gives us a/b = 0.8/1.2.
5. Simplifying the right side of the equation gives us a/b = 2/3.

So, the ratio of a to b is 2:3.

Question

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 can do this by dividing both sides of the equation by 1.2b. This gives us a/b = 0.8/1.2.
5. Simplifying the right side of the equation gives us a/b = 2/3.

So, the ratio of a to b is 2:3.

Knowee AI · Accepted Answer

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 can do this by dividing both sides of the equation by 1.2b. This gives us a/b = 0.8/1.2.
5. Simplifying the right side of the equation gives us a/b = 2/3.

So, the ratio of a to b is 2:3.

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

Solution

Similar Questions

Upgrade your grade with Knowee