Matematică, întrebare adresată de Floareparfumata20, 9 ani în urmă

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Anexe:

ingerasul10: Ce Ex?

Răspunsuri la întrebare

Răspuns de 6adri6
1
3. a/2=b/3=c/4
a+b+c=27
a=2b/3
c=4b/3
2b/3+b+4b/3=27
(2b+3b+4b)/3=27
9b=81
b=9

a=2b/3=18/3=6

c=4b/3=36/3=12

Verificare:
6+9+12=27!

4. x/3=y/4=z/6
z-y+x=10
x=3y/4
z=6y/4
6y/4-y+3y/4=10
(6y-4y+3y)/4=10
5y=40
y=8

x=3y/4=24/4=6

z=6y/4=48/4=12

Verificare: 12-8+6=10

5. x/4=y/5=z/6
x+y+z=60

x=4y/5
z=6y/5
4y/5+y+6y/5=60
(4y+5y+6y)/5=60
15y=300
y=20

x=4y/5=80/5=16
z=6y/5=120/5=24

Verificare:16+20+24=60

x+y+z=75
4y/5+y+6y/5=75
(4y+5y+6y)/5=75
15y=375
y=25
x=4y/5=100/5=20
z=6y/5=150/5=30

Verificare:25+20+30=75

x+y+z=90
4y/5+y+6y/5=90
(4y+5y+6y)/5=90
15y=450
y=30

x=4y/5=120/5=24
z=6y/5=180/15=36

Verificare:24+30+36=90!
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