Question

determina numerele a,b,c știind ca:
(a+b):c=42 rest 1
(a-48)×(b-16)=90
(a+14):6=11 rest 2

Answer 1

din ultima ecuatie: a+14=6x11+2
a+14=68
a=54
(54-48)x (b-16)=90
b-16=90:6
b=31
(54+31):c=42 rest 1
85=42xc+1
c=2

Answer 2

pornesti de la ultima relatie : (a+14):6=11 r  2

a+14=66+2

a=68-14

a=54

(a-48)x(b-16)=90

(54-48)x(b-16)=90

6x(b-16)=90

b-16=90:6

b=15+16

b=31

(a+b):c=42 r1

(54+31):c=42 r 1

85 :c=42 r1

85=42c+1

42c=84

c=2