The ratio of two given numbers is 7 : 3. If 2 is added to each, their ratio…

2023

The ratio of two given numbers is 7 : 3. If 2 is added to each, their ratio becomes 2 : 1. What will be the sum of these two numbers?

Answer: C. 20Let the numbers be 7x and 3x. Adding 2 gives (7x + 2)/(3x + 2) = 2. Solving for x yields 2, making the numbers 14 and 6. The sum of these two numbers is 20.

  1. A.

    10

  2. B.

    15

  3. C.

    20

  4. D.

    18

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Correct answer: C

Let the numbers be 7x and 3x. Adding 2 gives (7x + 2)/(3x + 2) = 2. Solving for x yields 2, making the numbers 14 and 6. The sum of these two numbers is 20.

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