UKMT Pink Kangaroo, 2021

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The number $x$ has the following property: subtracting $\frac{1}{10}$ from $x$ gives the same result as multiplying $x$ by $\frac{1}{10}$ . What is the number $x$ ?

(A) $\frac{1}{100}$ (B) $\frac{1}{11}$ (C) $\frac{1}{10}$ (D) $\frac{11}{100}$ (E) $\frac{1}{9}$

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