Maths Olympiad Prep

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, 2020

Algebra Difficulty 1.1 Junior Find the answer Canada

The value of 3×2020+2×20204×20203\times 2020 + 2\times 2020 - 4\times 2020 is

60606060
40404040
80808080
00
20202020

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

Solution

Calculating, 3×2020+2×20204×2020=2020×(3+24)=2020×1=20203 \times 2020 + 2 \times 2020 - 4 \times 2020 = 2020 \times (3 + 2 - 4) = 2020 \times 1 = 2020 Alternatively, 3×2020+2×20204×2020=6060+40408080=101008080=20203 \times 2020 + 2 \times 2020 - 4 \times 2020 = 6060 + 4040 - 8080 = 10\,100 - 8080 = 2020

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.