Question

If 42y11 is a multiple of 9. Find the value of 9.​

Answer 1

Given:

  4 2 y 1 1 is a multiple of 9.

To Find:

   The value of y in 42y11 .​

Step-by-step explanation:

For a number to be a multiple of 9, the sum of the digits of the number should be divisible by 9.

For example:

1. 81, if we add the digits of 81 i.e., 8 + 1, we will get 9 which is divisible by so number 81 is divisible by 9.
2. Similarly for 261, if we add the digits of 261 i.e., 2 + 6 + 1, we will get 9 which is divisible by so number 261 is divisible by 9.

Now, we will find the value of y in 42y11, which is a multiple of 9.

We will add the digits of 42y11.

4 + 2 + y + 1 + 1 = 6 + y + 2 = 8 + y

8 + y ( Value of y can be 1 so that the number is divisible by 9.)

= 8 + 1 = 9, which is divisible by 9

Hence, the value of y is 1.