Maths Olympiad Prep

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, 2026

Algebra Difficulty 1.4 Junior Find the answer Canada

Riley is 33 years older than
Elsa. The sum of their ages is 2727.
How old is Elsa?

Pick one

Solution

We seek two positive integers that differ by 33 and whose sum is 2727. With a small amount of trial and
error, we determine that 1512=315-12=3
and 15+12=2715+12=27, and so Elsa is 1212.

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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.