Write the smallest missing digit in the five-digit number 34__18 to make it divisible by 9. Show the working by using divisibility rule of 9.

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Solution

$f o r a n u m b e r t o t o b e d i v i s i b l e b y 9, s u m o f d i g i t s s h o u l d b e d i v i s i b l e 9 3 + 4 + 1 + 8 = 16 T h e s m a l l e s t n u m b e r t h a t c a n b e a d d e d t o 16 t o m a k e i t d i v i s i b l e b y 9 w i l l b e 2 a s 16 + 2 = 18 w h i c h i s d i v i s i b l e b y 2 H e n c e t h e m i s \sin g d i g i t i s 2$

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