let-a-b-c-be-three-digits-all-different-of-zero-Prove-that-ac-cb-a-b-n-1-accc-cc-ccc-ccb-a-b-the-number-accc-cc-has-the-digit-c-n-times-

Question Number 92188 by ~blr237~ last updated on 05/May/20

l e t a, b, c b e t h r e e d i g i t s a l l d i f f e r e n t o f z e r o

P r o v e t h a t \frac{a c}{c b} = \frac{a}{b} \Leftrightarrow \forall n ⩾ 1 \frac{a c c c \dots c c}{c c c \dots c c b} = \frac{a}{b}

t h e n u m b e r a c c c \dots c c h a s t h e d i g i t c n t i m e s