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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?Options8074647898

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?Options8074647898

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Solution

Let's solve this step by step:

  1. The average of three numbers is 32. This means the sum of the three numbers is 32 * 3 = 96.

  2. The ratio between the first number and the second number is 27:10. Let's denote the first number as 27x and the second number as 10x.

  3. The third number is 2 more than the second number, so it's 10x + 2.

  4. Now we know that 27x + 10x + 10x + 2 = 96. Simplifying this gives 47x + 2 = 96.

  5. Solving for x, we get x = (96 - 2) / 47 = 2.

  6. So, the first number is 27 * 2 = 54 and the second number is 10 * 2 = 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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