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Prove that any positive integer greater than or equal to 8 can be written as a sum of 3's and 5's. (For example, 8 = 5 + 3, 9 = 3 + 3 + 3, 10 = 5 + 5, 11 = 3 +3 + 5, etc.).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.5: Congruence Of Integers

Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .

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PSG Q3

Prove that any positive integer greater than or equal to 8 can be written as a sum of 3's and 5's.
(For example, 8 = 5 + 3, 9 = 3 + 3 + 3, 10 = 5 + 5, 11 = 3 +3 + 5, etc.).

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