Question

Afla valoare lui a si b , stiind ca 2a37b+17a21b= 206598

Answer 1

2a37b=2*10000+a*1000+3*100+7*10+b
17a21b=1*100000+7*10000+a*1000+2*100+1*10+b
...................................................................................................
=>2a37b+17a21b=2*10000+a*1000+3*100+7*10+b+1*100000+7*10000+
+a*1000+2*100+1*10+b=>
=>206598=1*100000+2*10000+7*10000+a*1000+a*1000+3*100+2*100+
+7*10+1*10+b+b=>
=>206598=190000+a*(1000+1000)+100*(3+2)+10*(7+1)+2*b=>
=>206598=190000+a*2000+100*5+10*8+2*b=>
=>206598=190000+a*2000+500+80+2*b=>
=>206598=190580+a*2000+2*b=>
=>a*2000+2*b=206598-190580=>
=>a*2000+2*b=16018 |:2=>
=>a*2000:2+2*b:2=160818:2=>
=>a*1000+b=8009=>
=>a*1000+b=8*1000+9=>a=8 si b=9