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The easiest way to solve this is with a systems of equations where the first shepherd's quantity is represented by X and the second shepherd's quantity is represented by Y.

1) X + 8 = Y - 8
2) 2(X - 8) = Y + 8

When you solve the first equation, Y = X + 16. When you plug this into the second equation you have:

2X - 16 = X + 16 + 8

We simplify this to: X = 16 + 16 + 8 = 40 and therefore if Y = X + 16, Y = 56.

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9y ago
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13y ago

The answer is 40 and 56. 40+8=48, 56-8=48. 40-8=32, 56+8=64.

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Q: One shepherd said to another Give me eight sheep and we'll have an equal number The other answered No you give me eight sheep and then I will have twice as many as you How many sheep did each?
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