What is true about the ratio of two numbers if one is 60 when their sum is 100?

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To understand why the answer is correct, first consider the sum of the two numbers. If one number is 60, the other number must be 100 - 60, which equals 40.

Now, to find the ratio of the two numbers, you compare the two quantities: 60 and 40. The ratio is found by dividing both numbers by their greatest common divisor.

In this case, the ratio of 60 to 40 can be simplified as follows:

  1. Divide both numbers by 20 (the greatest common divisor of 60 and 40).
  • 60 ÷ 20 = 3

  • 40 ÷ 20 = 2

This results in the simplified ratio of 3:2.

Thus, the correct interpretation of the ratio when one number is 60 and their sum is 100 is indeed 3:2.

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