What is the least number that when divided by 44 leaves a remainder 31, when divided by 56 leaves a remainder 43 and when divided by 32 leaves a remainder 19?

Shohan

6 views

2025-01-04 04:42

1 Answers

Shohan

$A s p e r d i v i s o r s a n d r e m a i n d e r s, t h e d i f f e r e n c e a r e a s f o l l o w s I n f i r s t c a s e, 44 - 31 = 13 I n s e c o n d c a s e, 56 - 43 = 13 I n t h i r d c a s e, 32 - 19 = 13 N o w, t h e L . . C . M o f 44, 56 a n d 32 i s 2464 ∴ T h e r e q u i r e d l e a s t n u m b e r = 2464 - 13 = 2451$

6 views Answered 2024-12-14 13:31

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