Question

Determinați nr x si y știind ca sunt i p cu. 1/2 si 1/3 iar suma lor este 360

Answer 1

{x,y} i.p. {1/2; 1/3}
=> x/2=y/3=k
x=2k
y=3k
x+y=360
2k+3k=360
5k=360
k=72
x=2×72=144
y=3×72=216

Answer 2

{x,y} i.p. {1/2; 1/3}

$\frac{x}{2} = \frac{y}{3}=k$
x=2k  si  y=3k
x+y=360
2k+3k=360⇒5k=360⇒k=360:5⇒k=72

x=2k=2×72=144
y=3k=3×72=216
verificare
x+y=360
144+216=360
360=360
deci x=144  si y=216