Question

Find the least value of k such that 2718k6 is divisible by 9

Answer 1

Answer:

So the divisibility rule for 9 is sum of digits is divisible by 9.

The answer will be k=3.

Step-by-step explanation:

2+7+1+8+6=24

24+k=x

Now x should be divisible by 9.

So least value of k comes out to be 3 :

24+3=27 which is divisible by 9.

Answer 2

The least value of k = 3

Given :

2718k6 is divisible by 9

To find :

The least value of k

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 2718k6

Step 2 of 3 :

Find sum of the digits

The sum of the digits

= 2 + 7 + 1 + 8 + k + 6

= k + 24

Step 3 of 3 :

Find the least value of k

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

Since 2718k6 is divisible by 9

⇒ k + 24 is divisible by 9

∴ k = 3 , 12 , 21 , . .

Since k is a digit

∴ k = 3

Hence the required least value of k = 3

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