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The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. What is the positive difference between the two
numbers?
80
72
85
78
- The numbers are in a ratio of 3:7.
- Let the two numbers be 3x and 7x.
- The equation based on their sum is 3x + 7x = 180.
- This simplifies to 10x = 180.
- Solving for x gives x = 18.
- The two numbers are 3(18) = 54 and 7(18) = 126.
- The positive difference between these numbers is 126 - 54 = 72.
- ? Option 2, 72, is the correct answer.
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