Question

(ab+13)xcd=2700

(ba+13)xcd=2160

a-b=1

tìm a,b,c,d

Answer 1

(ab+13) x cd=2700

(ba+13) x cd=2160

=>(ab+13) x cd-(ba+13) x cd=2700-2160

=>cd x (ab+13-ba-13)=540

=>cd x (10 x a + b - 10 x b -a)=540

=>cd x ( 9 x a - 9 x b)=540

Từ  a-b=1=>9 x a - 9 x b =9(1)

Từ (1) =>cd x 9 =540

=>cd=540:9=60

=>(ab+13)x60=2700

=>ab+13=2700:60=45

=>ab=45-13=32

Vậy a=3 b=2 c=6 d=0