Sum 29 and difference 5

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To find the two numbers whose sum is 29 and difference is 5, we can set up two equations:

Let's call the two numbers x and y.

Equation 1: x + y = 29
Equation 2: x - y = 5

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the method of elimination:

Adding Equation 1 and Equation 2, we get:

(x + y) + (x - y) = 29 + 5
2x = 34
x = 17

Substituting the value of x into Equation 1:
17 + y = 29
y = 29 - 17
y = 12

So, the two numbers are 17 and 12.