Competition problem — Algebra — Maths Olympiad Prep

Library / /21 of 173

Algebra Difficulty 2.0 Junior Find the answer

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

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

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

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.