Library / / 35 of 241
, 2024 Algebra Difficulty 1.2 Junior Find the answer Canada
If $ 1 6 + 1 3 = 1 x \$\dfrac{1}{6} + \dfrac{1}{3} =
\dfrac{1}{x} $ 6 1 + 3 1 = x 1 , t h e v a l u e o f , the value of , t h e v a l u eo f x$ is
Pick one
A 9 9 9 B 6 6 6 C 18 18 18 D 2 2 2 E 3 3 3
Solution Simplifying, $ 1 6 + 1 3 = 1 6 + 2 6 = 3 6 = 1 2 \$\dfrac{1}{6} +
\dfrac{1}{3} = \dfrac{1}{6} + \dfrac{2}{6} = \dfrac{3}{6} =
\dfrac{1}{2} $ 6 1 + 3 1 = 6 1 + 6 2 = 6 3 = 2 1 . T h u s , . Thus, . T h u s , 1 x = 1 2 \dfrac{1}{x} =
\dfrac{1}{2} x 1 = 2 1 a n d s o and so an d so x = 2$.
← Previous Browse the library Next →
Want a route through all this instead of an archive?
The track
puts 2,444 problems in a working order, from Junior Challenge level to the IMO shortlist.
Source: CEMC, University of Waterloo ,
licensed CC-BY-NC-4.0 .
Statement reproduced verbatim; metadata (topic, difficulty) added by this project.