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Problem 605

AIME late

Algebra Difficulty 5.0 Find the answer

# 8. Problem 8.1*

Find the largest three-digit number that is equal to the sum of its digits and the square of twice the sum of its digits. Points for the problem: 11.

Your answer

Official solution

# 8. Problem 8.1*

Find the largest three-digit number that is equal to the sum of its digits and the square of twice the sum of its digits. Points for the problem: 11.

Answer: 915

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.