Question

Numerele x si y sunt direct proportionale cu 3 si 4 . Determinati cele doua numere ,stiind ca y este cu 14 mai mare decat x

Answer 1

Salut,

{x,y} dp {3,4}

x/3 = y/4 = k.

x/3 = k → x = 3k.
y/4 = k → y = 4k.

y = 14+x
4k = 14+3k
k = 14.


x = 3k → x = 3•14 → x = 42.
y = 4k → y = 4•14 → y = 56.


Succes! :3

Answer 2

(x,y) d.p (3,4)
=> x/3=y/4
x /-/
y /-/+14
x/3=x+14/4
3(x+14)=4x
3x+42=4x
x=42
y=56