The sum of two numbers is 52 and their difference is 6?

Answer 1

x + y = 52
x - y = 6

Add the two equations:

2x = 58
x = 29

Subtract the second original equation from the first one:

2y = 46
y = 23

The numbers are 29 and 23.

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Check:

29 + 23 =52
29 - 23 = 6

yay !

Answer 2

Let's call the larger number "x" and the smaller number "y". From the given information, we can set up a system of equations:

x + y = 52 x - y = 6

Solving this system of equations, we find that x = 29 and y = 23.