Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 470. (October 2015)

K. 470. We have cubes of two different sizes, each with edges of integer length in cm. The edges of the red cubes are 5 cm longer than the edges of the blue ones. By stacking 15 cubes on top of each other, we got a tower of height 140 cm. How long are the edges if the difference between the numbers of red and blue cubes used is as small as possible?

(6 pont)

Deadline expired on November 10, 2015.


169 students sent a solution.
6 points:118 students.
5 points:30 students.
4 points:4 students.
3 points:3 students.
2 points:2 students.
1 point:5 students.
0 point:7 students.

Problems in Mathematics of KöMaL, October 2015