Question

If 24x is a multiple of 3, where x is a digit, what is the value of x?

Answer 1

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Answer...


Solution :
It is given that 24x is a multiple of 3

2+4+x is a multiple of 3

=>6+x is a multiple of 3.

=> 6+x = 0,3,6,9,12,15,18,21..........

But, x is a digit of the number 24x.

: x can take values of 0,1,2,3,....,9

=> 6+x can take values of 6,7,8,9,10....,15

From (i) and (ii) , we get

6+x = 6 or, 9 or, 12 or, 15

=> 6+x=6 or, 6+x=9 or, 6+x = 12 or, 6+x =15

=> x = 0 or, x= 3 or, x=6 or, x=9

Hence, x= 0,3,6,9.



Hope it helped ☺☺☺