# I am thinking of three numbers. If they are added in pairs the results are 38,44 and 82. Find the numbers.

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by abejellogan

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by abejellogan

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Let the three numbers be a, b, and c. We then have a system of equations:

a + b = 38 .... [1]

b + c = 44 ... [2]

a + c = 82 ... [3]

[1] + [2] - [3]

(a + b) + (b + c) - (a + c) = 38 + 44 - 82

2b = 0

b = 0

a + 0 = 38

a = 38

0 + c = 44

c = 44

The three numbers are 0, 38, and 44.

a + b = 38 .... [1]

b + c = 44 ... [2]

a + c = 82 ... [3]

[1] + [2] - [3]

(a + b) + (b + c) - (a + c) = 38 + 44 - 82

2b = 0

b = 0

a + 0 = 38

a = 38

0 + c = 44

c = 44

The three numbers are 0, 38, and 44.