Question

a=b+27
(a+b):(a-b)=46rest25
a,b=?

Answer 1

(2b+27):27=46 rest 25 => 2b+27=46 x 25 +25 <=> 2b=1150+25-27 <=>
2b=1148 <=> b=574 => a=574+27=601

Answer 2

(a + b) : ( a - b) = 46 R 25
inlocuiesti a cu b + 27 si iese:
( b + 27 + b) : ( b+ 27 - b) = 46 R 25
( 2b + 27 ) : 27 = 46 R 25
Acum scrii teorema impartirii cu rest ( a : b = c rest d => a = bc + d )
2b + 27 = 27 ori 46 + 25
2b = 27 ori 46 + 25 - 27
2b = 27 ori 46 - 2 l :2
b = 27 ori 23 - 1
b = 621 - 1
b = 620
a = b + 27
a = 620 + 27
a = 647