Question

Află numerele a, b şi c, ştiind că:
a+b=175
b + c = 200
16a + 3b + 2c = 2 000

Answer 1

Răspuns:

Explicație pas cu pas:

a+b=175 => b=175-a  => a=175-b

b+c=200 => c=200-b

16a+3b+2c=2000

a+b+b+c=175+200

a+2b+c=375

a+2b+c+b+c=375+200

a+3b+2c=575

3b+2c=575-a

rescriem:

16a+575-a=2000

15a=2000-575

15a=1425

a=1425:15

a=95

b=175-95

b=80

c=200-80

c=120

verificare:

a+b=95+80=175

b+c=80+120=200

16x95+3x80+2x120=

=1520+240+240=

=1760+240=

=2000