Answer:
To find the original price of the shoes before the 10% reduction, we can set up the equation based on the information given:
Let \( x \) be the original price of the shoes.
According to the problem, after a 10% reduction, Nathalie bought the shoes for £63. This can be expressed as:
\[ 0.9x = 63 \]
To find \( x \), divide both sides of the equation by 0.9:
\[ x = \frac{63}{0.9} \]
Now, perform the division:
\[ x = \frac{63 \times 10}{0.9 \times 10} = \frac{630}{9} = 70 \]
Therefore, the original price of the shoes was £70.