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

Question 4

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

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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 $x$ . Then,

$\sqrt{x} + 15 = 27$

First, isolate the square root term:

$\sqrt{x} = 27 - 15$

This simplifies to:

$\sqrt{x} = 12$

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

$x = 12^2$

Calculating this gives:

$x = 144$

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