Maths Olympiad Prep

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Problem 470

Algebra Difficulty 2.2 Find the answer CEMC Fermat

When three consecutive integers are added, the total is 27. What is the result when the same three integers are multiplied?

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

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Official solution

If the sum of three consecutive integers is 27, then the numbers must be 8, 9, and 10. Their product is 8imes9imes10=7208 imes 9 imes 10=720.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.