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Select the correct answerThe average of three numbers is 32. The ratio between first number and the second number is 27:10. If the third number is 2 more than the second number, what is the sum of first and second numbers?Options7478649880

Question

Select the correct answerThe average of three numbers is 32. The ratio between first number and the second number is 27:10. If the third number is 2 more than the second number, what is the sum of first and second numbers?Options7478649880

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Solution

To solve this problem, we need to follow these steps:

  1. We know that the average of three numbers is 32. So, the sum of these three numbers is 32 * 3 = 96.

  2. The ratio between the first number and the second number is 27:10. So, the first number is 27x and the second number is 10x.

  3. The third number is 2 more than the second number. So, the third number is 10x + 2.

  4. Now, we can set up the equation: 27x + 10x + 10x + 2 = 96. Simplifying this gives 47x + 2 = 96.

  5. Solving for x, we get x = 2.

  6. So, the first number is 272 = 54 and the second number is 102 = 20.

  7. The sum of the first and second numbers is 54 + 20 = 74.

So, the correct answer is 74.

This problem has been solved

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