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Patrick writes down a number - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

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Patrick writes down a number. He says If I find the square root of that number and then add 15, I get 27. What number did Patrick write down?

Worked Solution & Example Answer:Patrick writes down a number - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

Step 1

If I find the square root of that number and then add 15, I get 27.

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Answer

To solve for the number that Patrick wrote down, we can set up the equation based on his statement:

Let the number be represented as xx. Then,

x+15=27\sqrt{x} + 15 = 27

First, isolate the square root term:

x=27−15\sqrt{x} = 27 - 15

This simplifies to:

x=12\sqrt{x} = 12

Next, we square both sides to eliminate the square root:

x=122x = 12^2

Calculating this gives:

x=144x = 144

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