Question

aflati numerele de forma ab in bza 10, stiind ca aaa(in baza 10)*b+bb(in baza 10)=2020

Answer 1

Răspuns:

aaab+bb=2020

aaa=a*100+a*10+a    bb=b*10+b

a*1000+a*100+a*10+b+ b*10+b=2*1000+2*10

a*1000+a*100+ 10*(a+b) +2b= 2*1000+2*10

a*1000= 2*1000  => a= 2

a*100=0=> a= 0

10*(a+b) = 2*10 => a+b=2  => a= 0 b=2

2b=0   => b= 0

ab= 20

2000+20=2020 (abab)