Question

If 5n6 is a multiple of 3, where n is a digit, find the values of n.

Answer 1

Answer:

1,4,7

Step-by-step explanation:

As the divisibility of 3 shows that the sum of digits should be divisible by 3.

So,

5+n+6

=11+n

So we have to find the value of n in one digit for which the number is a multiple of 3.

If we take 1 than,

11+1

=12

which is a multiple of 3.

If we take 4 than,

11+4

=15

which is a multiple of 3

If we take 7 than,

11+7

=18

which is a multiple of 3.

Now if we take 10 thanit will be 21

which is a multiple of 3 but the digit will be 10 which is a 2 digit number that doesnt satisfy the question

so answers are 1,4 and 7