Track / Stage 4 / 324 of 340 #584 of 2000

Problem 584

AMC 12 late, AIME early

Combinatorics Difficulty 5.0 Find the answer

5. (5 points) Fill in the blanks in the following formula with the numbers $1, 2, 3, 4, 5, 6$ to make the equation true.

The above text has been translated into English, preserving the original text's line breaks and format.

Your answer

Official solution

【Answer】Solution: According to the problem, the results of the three equations are all perfect squares. Since $2 \times 2=4, 5 \times 5=25, 19$ $\times 19=361$ ,

the six numbers filled into the blanks are, in order, $4,2,5,3,6,1$ .

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