Question

MULTE PUNCTE VA ROG REPEDE (explicatii ) Daca x/y = 2/3 , y/z=5/4 si x +y+z =185 , afla cmmmc al numerelor x ,y,x

Answer 1

x/y = 2/3 => x/2 = y/3 = k => x= 2k si y= 3k
y/z = 5/4 => 3k/z = 5/4 => z = 12k/5
x + y + z = 185 => 2k + 3k + 12k/5 = 185 => 5k + 12k/5 = 185 => (25k + 12k)/5 = 185 => 37k/5 = 185 => k= (185*5)/37 => k= 25

x=2*25 = 50
y= 3*25 = 75
z = 12*25/5 = 12*5 = 60

50 = 5*5*2
75 = 5*5*3
60 = 5*3*2*2
c.m.m.m.c. (50, 75; 60) = 5*5*2*2*3 = 25*4*3 = 300