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The sum of two numbers is 71, and the difference of the numbers is 37. The system of linear equations shown below represents this situation, where x is the greater of the numbers and y is the smaller number. Solve the system to find the two numbers.

x + y = 71
x − y = 37
The larger number is____ the smaller number is_____.

please answer quick and SHOW WORK

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X=54 Y=17 54-17=37. 54+17=71
User Aart Den Braber
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