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Prove that 100 cannot be written as the sum of three integers, an even number of which

Chapter 3, Problem 18

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QUESTION:

Prove that 100 cannot be written as the sum of three integers, an even number of which are even.

Questions & Answers

QUESTION:

Prove that 100 cannot be written as the sum of three integers, an even number of which are even.

ANSWER:

Problem 18

Prove that  cannot be written as the sum of three integers, an even number of which are even.

                                                                Step by Step Solution

Step 1 of 3

Consider even number, and an odd number where.

The objective is to show that  cannot be written as the sum of three integers.

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