Question

S434S0 what number must be substituted with S to make it divisible by 36​

Answer 1

Step-by-step explanation:

1

S434S0, What number must be substituted with 'S' to make it divisible by 36?

Siddharth Sreejith

7 August 2020

For a number to be divisible by 36-

First it should be divisible by 9

second it should be divisible by 4 (as 36 = 9*4)

for a number to be divisible by 4 the last two digits of the no must be divisible by 4- IE S0 must be divisible by 4. we can see only 4 or 8 work (just remember this fact for now )

now for a number to be divisible by 9 the sum of digits must add up to a multiple of 9 eg- 36—-> 3+6 = 9 therefore divisible

so S+4+3+4+S+0 must be divisible by 9. We get a 11+2S .

Now remember fact 1 - the only possibilities are 8 and 4 and if we try them out we see that only 8 works! (11+2*4=19, 11+ 2*8 =27)

this is a very simple way of solving the problem with very basic divisibility rules, there are must much faster ways than this that could also be used