Competition problem — Algebra — Maths Olympiad Prep

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

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