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28 and 3.

Equation 1:

√(x - y) = 5

[√(x - y) = 5]2

x - y = 25

Equation 2:

x + y = 31

Solution:

x + y - 31 = x - y - 25

x - x + y + y = -25 + 31

2y = 6

y = 3

x - y = 25

x - 3 = 25

x = 25 + 3

x = 28

Checking:

x + y = 31

28 + 3 = 31

√(x - y) = 5

√(28 - 3) = 5

√25 = 5

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Q: The square root of the difference of two numbers is 5 The sum of the two numbers is 31 What are the two numbers?
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