Question

Cate perechi de numere naturale nenule (a, b) verifica relatia 2034-2×{7+[29-3×(a+2×b)]:4}=2016

Answer 1

2×{7+[29-3×(a+2×b)]:4}=2034-2016

2×{7+[29-3×(a+2×b)]:4}=18

7+[29-3×(a+2×b)]:4=18:2

7+[29-3×(a+2×b)]:4=9

[29-3×(a+2×b)]:4=9-7

[29-3×(a+2×b)]:4=2

29-3×(a+2×b)=2*4

29-3×(a+2×b)=8

3×(a+2×b)=29-8

3×(a+2×b)=21

a+2×b=21-3

a+2×b=18

2*b=18-a

18-a trebuie sa fie par, deci a trebuie sa fie par

a poate fi 0,2,4,6,8,10,12,14,16,18

b poate fi 9,8,7,6,5,4,3,2,1,0

=>10 perechi de numere