Question

1) daca ab+ac-a=100 si a=4 sa se afle b+c
2) aflati trei numere a,b,c care verifica simultan egalitatile

Answer 1

1.
a(b+c)-a=100
4×(b+c)=100+4
4×(b+c)=104
b+c=104:4
b+c=26

2.
a=4, b=20, c=6

Answer 2

ab+ac-a=100 si a=4

ab+ac-a= a·(b+c-1) = 4·(b+c-1) = 100

b+c-1 = 100:4 => b+c-1 = 25 => b+c = 25+1 => b+c = 26

a = 4 ; b = 1 ; c = 25

a = 4 ; b = 2 ; c = 24

a = 4 ; b = 3 ; c = 23

a = 4 ; b =4 ; c = 22  

a = 4 ; b = 5 ; c = 21

a = 4 ; b = 6 ; c = 20;