Discussion
The sum of two numbers is 40 and their difference is 4. What is the ratio of the two numbers?
Answer: A
Let the two numbers be x and y.
Given, x + y = 40 and x - y = 4.
Adding the two equations: 2x = 44, so x = 22.
Substituting x = 22 in the first equation: 22 + y = 40, so y = 18.
The ratio of the numbers is x : y = 22 : 18. Simplifying this by dividing both by 2 gives 11 : 9.
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