Question

If three digit number 6y8 is divisible by 9 then find the value of y

Answer 1

Answer:

here 6+y+8 should be divide by 9

14+y should be divide by9

y can be4 or in the form of 4+9x

hence ans. is 4

Answer 2

The value of y = 4

Given :

A three digit number 6y8 is divisible by 9

To find :

The value of y

Concept :

Divisibility rule of 9 :

If the sum of the digits of a number is divisible by 9 , then the number is divisible by 9

Solution :

Step 1 of 3 :

Write down the given number

Here the given number is 6y8

Step 2 of 3 :

Find sum of the digits

The sum of the digits

= 6 + y + 8

= y + 14

Step 3 of 3 :

Find the value of y

We know that if the sum of the digits of a number is divisible by 9, then the number is divisible by 9

Since 6y8 is divisible by 9

⇒ y + 14 is divisible by 9

Now 6y8 is a three digit number

So y is a digit

∴ y = 4

Hence the required value of y = 4

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