Dan thinks of a number - OCR - GCSE Maths - Question 5 - 2019 - Paper 1

To solve for the number Dan is thinking of, we can set up an equation based on the information provided:

Let the unknown number be represented as $x$. According to the problem:

1. Dan adds 3 to the number: $x + 3$
2. He then divides the result by 2: rac{x + 3}{2}
3. This result equals 16: $\frac{x + 3}{2} = 16$

To eliminate the division by 2, we multiply both sides of the equation by 2:

$x + 3 = 32$

Next, we isolate $x$ by subtracting 3 from both sides:

$x = 32 - 3$

Thus:

$x = 29$

Therefore, the number that Dan is thinking of is 29.