Question

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

Answer 1

X=54 Y=17 54-17=37. 54+17=71