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Let the number be m.

The problem is stated as √(2*m - 11) = 4.

Squaring both sides: (2*m - 11) = 16

Adding 11 to both sides: 2*m = 27

Dividing each side by 2: m = 13.5

Q.E.D.

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Q: When 11 is substracted from twice a number the square root of the result is 4?
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