Question

If 522x is a three digit number with as a digit x . If the number is divisible by 6, what is the value of the digit x is?

Answer 1

Answer:

522x=6

522/6=x

87answer

Answer 2

Answer:

x = 0 or 6

Step-by-step explanation:

given :

522x is a three digit number but actually its a four digit number

522x is divisible by 6 if its divisible by 2 & 3 both

522x would be divisible by 2

if x = 0 , 2 , 4 , 6 or 8

522x would be divisible by 3

if 5 + 2 + 2 + x  is divisible by 3

if 9 + x is divisible by 3

if x = 0 , 3 , 6 or  9

Taking intersection of  0 , 2 , 4 , 6 or 8     &  0 , 3 , 6 or  9

x = 0 or 6

5220  & 5226 divisible by 6

if we take 522x is three digit number then

52y  should be divisble by 6  where y = 2x

52y is divisible by 2

if y = 0 , 2 , 4 , 6 , 8

52y is divisible by 3

if 5 + 2 + y is divisible by 3

if y = 2 , 5 , 8

Taking common  y = 2 or 8

y = 2x  => x  = 1  or 4

522  & 528 are divisible by 6