How-many-artificially-made-weights-are-required-minimally-to-weigh-ONLY-1-3-5-79-kg-and-what-should-be-they-

Question Number 183664 by Rasheed.Sindhi last updated on 28/Dec/22

H o w m a n y a r t i f i c i a l l y m a d e w e i g h t s a r e

r e q u i r e d (m i n i m a l l y) t o w e i g h

\underset{―}{ONLY} 1, 3, 5, \dots, 79 k g

a n d w h a t s h o u l d b e t h e y ?

Commented by Frix last updated on 28/Dec/22

The problem might be this :

If we want to weigh o n l y 1, 3 kg we need

∙ 1 and 3 but then we also get 2 and 4

∙ 1 and 2 but then we also get 2

∙ 1 and 4 but then we also get 4 and 5

∙ . 5 and 2.5 \dots

\Rightarrow I think {there}^{'} s no solution

Commented by Rasheed.Sindhi last updated on 29/Dec/22

T han X Frix sir! v e r y r i g h t a r e y o u \dots

I n c a s e w e r e l e a s e t h e \underset{―}{only} c o n d i t i o n

h a s t h e q u e s t i o n unique s o l u t i o n

You can't use 'macro parameter character #' in math mode

Commented by mr W last updated on 29/Dec/22

t o w e i g h o n l y 1, 3, 5, \dots, 79 k g, t h e r e i s

n o s o l u t i o n .

t o w e i g h n o t o n l y 1, 3, 5, \dots, 79 k g, w e

n e e d a t l e a s t 5 w e i g h t s . w i t h 5 w e i g h t s

t h e r e a r e a t l e a s t t w o s o l u t i o n s :

1, 3, 9, 27, 81 o r

1, 2, 6, 18, 54 .

Commented by Rasheed.Sindhi last updated on 29/Dec/22

\lor \cap i \subset\in sir! T h a n X!