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Determină valoarea fiecărei litere, ştiind că:
a) ax2=b
b:3=c
c+36=d
d-19=87

b)a-304=b
b+29=c
c:4=d
dx6=294

c) a+b=300
b=cx9
c=d+13
d=e:6
e:6=19

d) axb=90
b=cx3
c=d:10
d-e=250
e:10=5

Vă rog frumos!


Răspuns :

a) 2a = b
b/3 = c
c+36 = d
d-19=87


d-19 = 87
d = 87+19
d = 106.

c+36 = d
c+36 = 106
c = 106-36
c = 70.

b/3 = c
b/3 = 70
b = 70•3
b = 210.

2a = b
2a = 210
a = 210/2
a = 105.





b) a-304 = b
b+29 = c
c/4 = d
6d = 294


6d = 294
d = 294/6
d = 49.

c/4 = d
c/4 = 49
c = 49•4
c = 196.

b+29 = c
b+28 = 196
b = 196-28
b = 168.

a-304 = b
a-304 = 168
a = 168+304
a = 472.




c) a+b = 300
b = 9c
c = d+13
d = e/6
e/6 = 19


e/6 = 19
e = 19•6
e = 114.

d = e/6
d = 114/6
d = 19.

c = d+13
c = 19+13
c = 32.

b = 9c
b = 9•32
b = 288.

a+b = 300
a+288 = 300
a = 300-288
a = 12.



d) a•b = 90
b = 3c
c = d/10
d-e = 250
e/10 = 5


e/10 = 5
e = 5•10
e = 50.

d-e = 250
d-50 = 250
d = 250+50
d = 300.

c = d/10
c = 300/10
c = 30.

b = 3c
b = 3•30
b = 90.

a•b = 90
a•90 = 90
a = 90/90
a = 1.










I hope I helped you :)