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Zielflug [23.3K]
3 years ago
6

Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.

Mathematics
2 answers:
vaieri [72.5K]3 years ago
7 0

This is a simple consequence of the Zero-sum problem: https://en.wikipedia.org/wiki/Zero-sum_problem

yaroslaw [1]3 years ago
7 0

Answer:

Step-by-step explanation:

let x,x+1,x+2,x+3,x+4,x+5,x+6,x+7,x+8

be 9 integers

x+x+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8=9x+36=9(x+4)

which is divisible by 9

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One number is 4 more than another, and their sum is 60. What is the smaller number? If x = the larger number and y = the smaller
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a. x+y=60 and -x+y=4

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Let x be the larger number and y be the smaller number.

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