Question

For each pair of numbers, determined by what percent the second number is greater than the first also determined by what percent the first number is less than the second. 10 and 20.

Answer 1

The second number, 20, is 100% greater than the first number, 10. Inversely, the first number, 10, is 50% less than the second number, 20.

Step-by-step explanation:

To determine by what percent one number is greater than another, we calculate the difference between the two numbers, divide by the first number, and then multiply by 100.

For 10 and 20, the second number (20) is 10 units greater than the first (10).

So, we divide the difference by the first number: 10/10 = 1.

Then, multiply by 100 to get the percentage: 1 × 100% = 100%.

Therefore, the second number is 100% greater than the first.

Similarly, to find out by how much the first number is less than the second, we use the same difference but divide by the second number instead: 10/20 = 0.5.

And then, we again multiply by 100 to convert this to a percent: 0.5 × 100% = 50%.

So, the first number is 50% less than the second number.