Question

Suma numerelor x,y si z este 14400. Determina numerele x,y si z daca x/3 =y/4=z/5.

Answer 1

x + y + z = 14400

x/3 = y/4 = z/5

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x, y, z = ?

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x/3 = y/4 ⇔ 4x = 3y ⇒ x = 3y/4

y/4 = z/5 ⇔ 4z = 5y ⇒ z = 5y/4

x + y + z = 14400

3y/4 + y + 5y/4 = 14400

8y/4 + y = 14400

3y = 14400 /:3

y = 4800.

x = 3y/4 = 14400 : 4 = 3600.

z = 5y/4 = 24000 : 4 = 6000.

/rfd

Answer 2

x+y+z=14400    x/3=y/4=z/5=k    x=3k, y=4k z=5k      3k+4k+5k=14400   12k=14400   k= 14400:12=1200   x=3*1200=3600   y=4*1200=4800  z=5*1200=6000