Question

If the following three digit numbers are divisible by 3,
(i) 223x4 (ii) 4543x (iii) 2562x1 then what is the value of x?

Answer 1

Answer:

I) 224x4 is a number divisible by 3

so sum of the digits of the number is divisible by 3

2+2+3+x+4=11+x

if the value of x =1 then sum is 11+1=12

which is divisible by 3

so here x=1

ii) 4543x

sum of the digits

4+5+4+3+x=16+x

if the value of x=2 then sum is 16+2=18 which is divisible by 3

so here x=2

iii) 2562x1

sum of the digits =2+5+6+2+x+1=16+x

if the value of x=2 then the sum is

16+2=18 which is divisible by 3

so, here x=2