Question

Afla cifrele a si b stiind ca: a) a,(b) + b,(a) = 12,(2). b) 1,(a) + 2,(a) + b,(a) = 11

Answer 1

a) a,(b)+b,(a)=12,(2)

a,(b) = ( ab-b)/9   ( ab barat )

b,(a) = ( ba-a)/9    (ba barat )

a,(b)+b,(a)=(ab-b)/9+(ba-a)/9=(ab-b+ba-a)/9=(10a+b-b+10b+a-a)/9=(10a+10b)/9

(10a+10b)/9=12,(2)

(10a+10b)/9=(122-12)/9

(10a+10b)/9=110/9

10(a+b)=110

a+b=11

a=2=>b=9

a=3=>b=8

a=4=>b=7

a=5=>b=6

a=6=>b=5

a=7=>b=4

a=8=>b=3

a=9=>b=2

b) 1,(a)+2,(a)+b,(a)=11

(1a-1)/9+(2a-2)/9+(ba-b)/9=11

(1a-1+2a-2+ba-b)/9=11

10+a-1+20+a-2+10b+a-b=99

27+3a+9b=99

9+a+3b=33

a+3b=24

a=0=>b=8

a=3=>b=7

a=6=>b=6

a=9=>b=5