The sum of 2 numbers is 70. The difference of these numbers is 24. Write and solve a system of equat

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The sum of 2 numbers is 70. The difference of these numbers is 24. Write and solve a system of equations to determine the numbers.

Let the two numbers be x and y. We have the following equations:

1. x + y = 70
2. x - y = 24

Add (1) to (2):
2x = 94

Divide each side by 2
x = 47

Plug this into (1)
47 + y = 70

Subtract 47 from each side, we have:
y = 23