Question

Determinati nr naturale a,b si c stiind ca a/4=b/6 si b/8=c/12 si a+b+c=76

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

Determinati nr naturale a,b si c stiind ca

a/4=b/6 si b/8=c/12 si a+b+c=76

a/4=b/6

6a=4b. 3a=2b a=2b/3

b/8=c/12

12b=8c. 3b=2c. c=3b/2

a+b+c=76

²2b/3+⁶b+³3b/2=76

b(4+6+9)/6=76

19b/6=76

19b=456

b=24. => a=24×2/3=16;. c=24×3/2=36

R: (16;24;36)