Question

14 Determinati a+b+c, astfel încât: a) ab + bc+ca=77; c) abc + cab+bca=444; b) ab + bc+ca=121; d) ab+ac+ba+bc+ca + cb=154. 111​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 10a+b+10b+c+10c+a=77

11a+11b+11c=77

11*(a+b+c)=77

a+b+c=77/11

a+b+c=7

c) 100a+10b+c+100c+10a+b+100b+10c+a=444

111a+111b+111c=444

111*(a+b+c)=444

a+b+c=444/111

a+b+c=4

b)10a+b+10b+c+10c+a=121

11a+11b+11c=121

11*(a+b+c)=121

a+b+c=121/11

a+b+c=11

d)10a+b+10a+c+10b+a+10b+c+10c+a+10c+b=154

22a+22b+22c=154

22(a+b+c)=154

a+b+c=154/22=7