CEMC Fermat

Algebra Difficulty 2.0 Junior Find the answer

When $x=2021$ , what is the value of $\frac{4x}{x+2x}$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

When $x eq 0$ , we obtain $\frac{4 x}{x+2 x}=\frac{4 x}{3 x}=\frac{4}{3}$ . Thus, when $x=2021$ , we have $\frac{4 x}{x+2 x}=\frac{8084}{2021+4042}=\frac{8084}{6063}=\frac{4}{3}$ .

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