Notam cele doua numere cu a si b.
Prima informatie inseamna:
(a+b):2 = 8,15 + (a-b)
(a+b):2 = 8 si 15/100 + (a-b)
(a+b):2 = 815/100 + a - b
a+b = 2[163/20 + 20(a-b)/20] = 2(163 + 20a -20b)/20
a + b = (163+20a-20b)/10
10a + 10b = 163+20a-20b
30b-10a = 163
A doua informatie inseamna:
b = a/2
a = 2b
Introducem a = 2b in primna relatie si obtinem:
30b - 10*2b = 163
30b-20b = 163
10b = 163
b = 163/10
a = 2*(163/10) = 326/10 = 163/5
Proba:
(163/10+326/10):2 = 815/100 + (326/10-163/10)
489/10 x 1/2 = 815/100 + 163/10
489/20 = 815/100 + 1630/100
489/20 = 2445/100
489/20 = 489/20, adevarat
Produsul celor doua numere este:
163/5 x 163/10 = 26569/50
