The sum of two numbers is 12. When three times the first number is added to 5 times the second number, the resultant number is 44. What are the two numbers?

Question

The sum of two numbers is 12. When three times the first number is added to 5 times the second number, the resultant number is 44. What are the two numbers?
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Solution 1

Let's denote the first number as x and the second number as y.

From the problem, we have two equations:

  1. x + y = 12 (since the sum of two numbers is 12)

  2. 3x + 5y = 44 (since when three times the first number is added to five times the second number, the resultant number is 44)

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