There-are-two-numbers-n-1-and-n-2-they-are-composed-by-three-digits-the-sum-of-3-digits-that-compose-n-1-is-15-the-first-digit-of-n-2-is-the-second-digit-of-n-1-and-the-first-d

Question Number 100465 by mathocean1 last updated on 26/Jun/20

T h e r e a r e t w o n u m b e r s n_{1} a n d n_{2} .

t h e y a r e c o m p o s e d b y t h r e e d i g i t s .

t h e s u m o f 3 d i g i t s t h a t c o m p o s e n_{1}

i s 15 . t h e f i r s t d i g i t o f n_{2} i s t h e

s e c o n d d i g i t o f n_{1} a n d t h e f i r s t

d i g i t o f n_{1} i s a l s o t h e s e c o n d d i g i t o f

n_{2} . w e k n o w a l s o t h a t n_{1} i s a p r i m e

n u m b e r a n d w e k n o w a l s o t h a t n_{1} i s

d i v i s i b l e b y 5 a n d n_{1} - n_{2} = 306 .

1) f i n d n_{1} a n d n_{2 .}

S o r r y, t h e f i r s t d i g i t o f n_{1} a n d n_{2} i s \neq 0

Commented by Aziztisffola last updated on 27/Jun/20

n_{1} i s a p r i m e n u m b e r a n d d i v i s i b l e b y 5

t h e n n_{1} = 5 . somthing went wrong .

Answered by MAB last updated on 26/Jun/20

l e t n_{1} = 100 a + 10 b + c

w e h a v e :

a + b + c = 15 (n_{1} i s d i v i s i b l e b y 3)

a n d n_{1} i s p r i m e s o n_{1} = 003

h o w e v e r 0 + 0 + 3 \neq 15

p r o b l e m h a s n o s o l u t i o n

Facebook Tweet Pin