Question

Media aritmetica a doua numere naturale este a si b este 35. Marind numarul cu a cu 11 si micsorand numarul b cu 9, numerele astfel obtinute devin egale. Aflati a si b.
CORONITA + 30 PUNCTE

Answer 1

[tex] \frac{a+b}{2} =35=\ \textgreater \ a+b=35*2=\ \textgreater \ a+b=70 \\ a+11=b-9=\ \textgreater \ a=b-9-11=\ \textgreater \ a=b-20 \\ b-20+b=70 \\ 2b=70+20 \\ b=90:2=45 \\ a=45-20=25[/tex]

Answer 2

(a+b):2=35=>a+b=35*2=>a+b=70
a+11=b-9
a+11+9=b
a+20=b
a=20-b
20-b+11=b-9
31-b=b-9
31+9=b+b
40=2b
b=40/2
b=20
(a+20):2=35
a+20=35*2
a+20=70
a=70-20
a=50
(20+50):2=35
70:2=35
35=35