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aflati nr de forma ab daca a) 23ab+ab57=4781 b) 3×ab+ 3×ba=165

Răspuns :

23ab+  
ab57
____
4781 
rezulta ca b=4 (7+4=11), a=2 (2+5+1)

3ab+3ba=165
3(10a+b)+3(10b+a)=165
30a+3b+30b+3a=165 impartim ecuatia la 3
10a+b+10b+a=55
11a+11b=55
11(a+b)=55
a+b=5
numerele de forma ab pot fi:
14, 23, 32, 41