Question

Iulian s.a gandit la un numar , l.a adunat cu 1\3 , suma a inmultit.o cu 3\47 , produsul l.a micsorat 1\2 , diferenta a impartit.o la 35\2 , la cat a adunat 4\7 si a obtinut 1. Ce numar a ales Iulian .

Answer 1

Fie x numarul la care s-a gandit Iulian

[(x+1/3)×3/47 -1/2] : 35/2 + 4/7 = 1

[(x+1/3)×3/47 -1/2] : 35/2 = 1 - 4/7

[(x+1/3)×3/47 -1/2] : 35/2 = (7-4)/7

[(x+1/3)×3/47 -1/2] : 35/2 = 3/7

(x+1/3)×3/47 -1/2 = 3/7 × 35/2

(x+1/3)×3/47 -1/2 = 15/2

(x+1/3) × 3/47 = 15/2 + 1/2

(x+1/3) × 3/47 = 16/2 = 8

x+1/3 = 8 × 47/3

x+1/3 = 376/3

x = 376/3 - 1/3

x = 375/3

x = 125 (numarul)