Competition problem — Algebra — Maths Olympiad Prep

Library / /37 of 173

Algebra Difficulty 2.2 Junior Find the answer

What is the value of $(5
abla 1)+(4
abla 1) $if the operation$ k
abla m $is defined as$ k(k-m)$?

Your answer

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

Solution

From the definition, $(5
abla 1)+(4
abla 1)=5(5-1)+4(4-1)=5(4)+4(3)=20+12=32$.

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.