Question

Aflati a,b respectiv c stiind ca sunt invers proportionale cu 2, 4, si 6 si ca a+b+c=46.

Ajutor please?

Answer 1

2a = 4b = 6c = k  

a = k/2  

b = k/4  

c = k/6  

Dar a + b + c = 44 adica:  

k/2 + k/4 + k/6 = 44  

6k/12 + 3k/12 + 2k/12 = 44  

11k/12 = 44

11k = 12*44

k = 12*44/11 = 12*4 = 48

Atunci: a = k/2 = 48/2 = 24

b = k/4 = 48/4 = 12

c = k/6 = 48/6 = 8