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The sum of two numbers is 40 and their difference is 4. What is the ratio of the two numbers?

  • A.11:9
  • B.11:10
  • C.10:7
  • D.9:7

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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