Olympiad Maths Prep

Track / Stage 4 / 139 of 340 #399 of 2000

Problem 399

AMC 12 late, AIME early
Number theory Difficulty 4.8 Find the answer

[ Evenness and Oddness]
b) And if the aborigines wanted to get a sum of 910 rupees with 50 coins of 10, 34, and 62 rupees?

#

Official solution

a) The sum of an even number of odd numbers is even, while the number 455 is odd.

b) Reduces to a) by dividing all numbers by 2.

## Answer

They will not be able to.

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