Question

Cine ma poate ajuta???
Valorile necunoscutelor a,b,c,d pentru care a + a = b, b+b=c, c+c = d, a+b+c+d=360 sunt .... 
 

Answer 1

a + a = b => b = 2 × a

b + b = c => c = 2 × b = > c = 4 × a

c + c = d => d = 2 × c => d = 8 × a

am calculat toate valorile in functie de "a"

si inlocuim in suma :

a + b + c + d = 360

a + 2 × a + 4 × a + 8 × a = 360

15 × a = 360

a = 360 : 15

a = 24
b = 2 × 24 = 48
c = 4 × 24 = 96
d = 8 × 24 = 192


Verificare:
24 + 48 + 96 + 192 = 360

Answer 2

a + b + c + d = 360

a + a = b => b = 2a

b + b = c => c = 2b = 4a

c + c = d => d = 2c = 8a

a + 2a + 4a + 8a = 360

15a = 360

a = 24

b = 48

c = 96

d = 192