Question

sa se determine fractiile 3/a,4/b,5/c,stiind ca reprezinta acelasi nr rational si ca 2c+3b-4a=40

Answer 1

3/a=4/b=5/c
b=4a/3
c=5a/3
2c+3b-4a=40
2×5a/3+3×4a/3-4a=40
10a/3+12a/3-4a=40
22a/3-4a=40
22a-12a=120
10a=120
a=12
b=4a/3=4×12/3=16
c=5a/3=5×12/3=20

verificare
2×20+3×16-4×12=40+48-48=40