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Rodicutza75
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Suma a patru numere consecutive este 106,,Care sunt numerele?



Răspuns :

Fie a,b,c,d cele 4 numere consecutive.
b=a+1
c=b+1=a+1+1=a+2
d=c+1=a+1+2=a+3
=>a+b+c+d=a+a+1+a+2+a+3=106
=>4a+6=106
4a=106-6=100
=>a=100:4=25
b=25+1=26
c=26+1=27
d=27+1=28

Verificare: 25+26+27+28=106
Rapunzel15
a+b+c+d = 106
a |____|
b |____|+1
c |____|+2
d |____|+3
avem 4 segmente egale +1+2+3 = 106
106 - (1+2+3) = 106 - 6 = 100
100 : 4 = 25 (un segment egal)
a = 25
b = 25+1=26
c = 25+2 = 27
d = 25+3 = 28

Verificare:
25+26+27+28 = 106

Cele 4 numere consecutive sunt:
25; 26; 27; 28 .

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