Question

Se dau trei numere a, b, c despre care se stie că: a:b=4, c:b=2, a-c=8. Aflați suma numerelor.

Answer 1

a : b = 4
a = 4×b

c : b = 2
c = 2×b

a - c = 8
4×b - 2×b = 8
2×b = 8
b = 8:2
b = 4
a = 4×4 = 16
c = 2×4 = 8

a = 16
b = 4
c = 8

a + b + c = 16 + 4 + 8 = 28

metoda grafica:
a /----/----/----/----/
b /----/
c /----/----/
4 segmente egale (a) - 2 segmente egale (c) = 2 segmente egale = 8
8 : 2 = 4 (un segment egal)
a = 4×4 = 16
b = 4
c = 4×2 = 8