Question

3a/2b=5/4 , 3b/5c=6/7 si a+b+c =1672 , aflati a,b si c. URGENT.VA ROG.

Answer 1

a+b+c = 1 672

3a/2b = 5/4 =>4×3a = 5×2b = 12a = 10b =>
=> a = 10b/12 = 5b/6

3b/5c = 6/7 => 7×3b = 6×5c => 21b = 30c =>
=> c = 21b/30 = 7b/10

inlocuim in prima ecuatie in functie de b
5b/6 + b + 7b/10 = 1 672 |×30
25b + 30b + 21b = 50 160
76b = 50 160 |:76
b = 660

a = 5×660/6 = 5×110 = 550
c = 7×660/10 = 7×66 = 462

Verificare:
550 + 660 + 462 = 1 672

a = 550
b = 660
c = 462