Target problem part 2

Number Theory Level 3

In a game of darts, a dart in the 8 point area is worth 8 points and a dart in the 5 point area is worth 5 points. What is the largest unattainable number?
Based off Target problem part 1 follow this link: https://brilliant.org/problems/target-problem/


The answer is 27.

Matthew Tam by Matthew Tam , 19, USA

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1 solution

Jonathan Hsu
May 19, 2015

A handy formula for these kind of questions is ab-a-b, where a is the first number and b is the first number, and either a or b are odd (both can be odd). Using this formula, 8*5-8-5 = 40-13 = 27.

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i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater A s h w i n P a d a k i i s a C h e a t e r \Huge Ashwin \ Padaki \ is \ a \ Cheater

Matthew Tam - 6 years ago

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