Question

Treimea unui numar intrece cu 16patrimea altui nr .Afla numetele stiind ca suma lor este 82

Answer 1

a:3 = b:4 + 16 /×12
4a = 3b + 192
a = (3b+192):4
a + b = 82
(3b+192):4 + b = 82 /×4
3b + 192 + 4b = 328
7b = 328-192
7b = 136
b = 136/7
a = 82-136/7 = (574-136)/7 = 438/7

verificare:
438/7×1/3 = 136/7×1/4+16
438/21 = 136/28+16
146/7 = (136+448)/28
146/7 = 584/28
146/6 = 146/7 (adevarat)

a = 438/7
b = 136/7