Question

16. Află numerele ..a", ,,b"...c", ştiind că:
a) a + b + c = 144
a= 2 x b
c=a+b
b) a+b+c=132
a=3xb
c=a-b​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

a + b + c = 144

a = 2 x b

c = a + b

c = 2 x b + b = 3 x b

2 x b + b + 3 x b = 144

6 x b = 144

b = 144 : 6 = 24

a = 2 x 24 = 48

c = 24 + 48 = 72

__________

b)

a + b + c = 132

a = 3 x b

c = a - b​

c = 3 x b - b = 2 x b

3 x b + b + 2 x b = 132

6 x b = 132

b = 132 : 6 = 22

a = 3 x 22 = 66

c = 66 - 22 = 44

Answer 2

a) 2b+b+3b=144
b=144:6=24
a=2•b=2•24=48
c=a+b=48+24=72
b) 3b+b+(3b-b)=132
3b+b+2b=132
b=132:6=22
a=3•b=3•22=66
c=a-b=66-22=44