Răspuns :

Bunicaluiandreiid

a+b=245                   a=(a-b)×4 +7          a=4a-4b +7       4b-3a=7   3a +3b= 735  adunam ultimele doua relatii⇒ 7b=742⇒  b=106 ⇒ a=139
iau a ca fiind numarul mai mare

a: (a-b) = 4 rest 7

a = 4 * (a-b) + 7
a= 4a - 4b + 7
4a-4b+7-a=0
3a+7=4b
a=[tex] \frac{4b-7}{3} [/tex]
 
inlocuiesc in suma : 

[tex] \frac{4b-7}{3} [/tex] +b = 245

[tex] \frac{7b-7}{3} =245[/tex]
7(b-1) = 245 *3=735
b-1 = 735:7
b-1= 105
b=105+1
b=106

stiu ca a+b = 245
rezulta ca  a=245-b
a=245-106
a=139

Verificare : 139: (139-106) = 139: 33 = 4 rest 7

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