{ a, b, c } i.p. { 2, 5, 8 }
a x 2 = b x 5 = c x 8 = k
a x 2 = k ⇒ a = k/2
b x 5 = k ⇒ b = k/5
c x 8 = k ⇒ c = k/8
a + b + c = 132
20) 8) 5)
k/2 + k/5 + k/8 = 132 ( numitorul comun e 40 )
20k/40 + 8k/40 + 5k/40 = 132
33k/40 = 132
33k = 132 x 40
33k = 5280
k = 5280 : 33
k = 160
a = 160/2 = 80
b = 160/5 = 32
c = 160/8 = 20
Sper ca te-am ajutat !
