Question

Fie a,b,c,d patru numere naturale
a) Daca a=b si c=d, compara a+c cu b+d.
c) Daca a>b si c>d, compara a+c cu b+d.
b) Daca a d) Daca a+b=33,a+c=34 si b+c=43, determina numerele a,b si c.

Answer 1

Răspuns: a) a+c= b+d

c) a+c >b+d

d) a+b= 33
a+c= 34

b+c=43

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inseamna ca 2a+2b+2c= 110
=> a+b+c = 110 : 2

a+b+c= 55

luam pe cazuri acum:

1) a+b+c= 55

dar a+b= 33

=> c= 55-33
c= 22

2) a+b+c=55
dar a+c= 34
=> b= 55- 34

b= 21

3) a+b+c= 55
dar b+c= 43

=> a= 55-43
a= 12

verificare: a+b+c= 12+ 21+ 22=55