Question

afla produsul nr a b c stiind ca a+b=27 b+c=15 a+c=26

Answer 1

a+b = 27
b+c = 15
a+c = 26
adunam cele 3 relatii
2×a+2×b+2×c = 27+15+26
2×(a+b+c) = 68
a + b + c = 68 : 2 = 34

c = 34 -27 = 7
a = 34 - 15 = 19
b = 34 - 26 = 8

verificare:
7+19+8 = 34

deci solutiile sunt:
a = 7
b = 19
c = 8

a × b × c = 7 × 19 × 8 = 1064 (produsul)

Answer 2

a+b    =27 +
    b+c=15
a    +c=26
----------------------
2a+2b+2c=68
2(a+b+c)=68
a+b+c=34
-----------------------
a+b+c=35=>c=34-27=7
                    b=34-26=8
                    a=34-15=19
a×b×c=7×8×19=1064

q.e.d.