Question

If a three digit number 7Y9 is divisible by 3 then the value of Y is

Answer 1

We know that for a number to be divisible by three, the digits of the number should add up to get a multiple of 3.

So, 7 + Y + 9 = Multiple of three = 16 + Y

The closest multiple of 3 to 16 is 18.

So, Y = 18 - 16 = 2

Answer 2

The minimum value of Y is 2(possible values, 2, 5 and 8).

Step-by-step explanation:

Given,

A three digit number 7Y9 is divisible by 3

To find, the value of Y = ?

We know that,

The number is divisible by 3, the sum of all digits is divisible by 3.

∴ 7 + Y + 9 = Divisible by 3

⇒ 16 + Y = Divisible by 3

Y = 2, 5 and 8 are possible

⇒ 16 + 2 = 18 = Divisible by 3

Thus, the minimum value of Y is 2(possible values, 2, 5 and 8).