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Suma a 4 numere impare consecutive este 120. Aflați numerele

Răspuns :

Hatty
a+b+c+d=120
b=a+2
c=b+2
d=c+2
a+a+2+a+4+a+6=120
4a+12=120
4a=108
a=27
b=29
c=31
d=33
Rodi11
a+b+c+d=120
b=a+2
c=a+4
d=a+6

a+a+2+a+4+a+6=120
4×a+12=120
4×a=120-12
4×a=108
a=108:4
a=27

b=a+2=27+2=29
c=a+4=27+4=31
d=a+6=27+6=33

PROBA
27+29+31+33 (consecutive )=56+64=120 (adevarat )

Rezolvarea cu SEGMENTE =>

a+b+c+d=120
b=a+2
c=a+4
d=a+6

a) |---|
b) |---|+2
c) |---|+4
d) |---|+6 }acolada la toate patru 120

2+4+6=12
120-12=108

Avem 4 segmente egale =>

108:4=27 (a)
27+2=29 (b)
27+4=31 (c)
27+6=33 (d)

PROBA
27+29+31+33 (consecutive )=56+64=120 (adevarat )