Question

a+b+c = 274, b: a = 5 r 7, c:b = 2 r 13. Aflați numerele .

Answer 1

Răspuns

a=15, b=82, c=177

Explicație pas cu pas:

a+b+c=274,   b=5a+7,  c=2b+13,      

inlocuim b in c :    c= 2(5a+7)+13=10a+14+13=10a+27,

inlocuim b si c in prima egalitate:

a+5a+7+10a+27=274,   16a+34=274,  16a=274-34,  16a=240,  a=240:16=15

acum b=5*15+7=75+7=82,   c=10*15+27= 150+27= 177

Answer 2

a+b+c=274
b=5a+7
c=2b+13

c=2×(5a+7)+13
c=10a+14+13
c=10a+27

a+5a+7+10a+27=274
16a+34=274
16a=274-34
16a=240
a=240:16
a=15

b=5×15+7
b=75+7
b=82

c=10×15+27
c=150+27
c=177