Question

if 98a974 is divisible by 9 then a=?
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Answer 1

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a =8

Step-by-step explanation:

☆To find:

• The value of a

☆Given:

• The number 98a974 is divisible by 9

☆Note:

• A number is divisible by 9 if the sum of the digits is a multiple of 9 or 0

☆Solution:

9+8+a+9+7+4 = a multiple of 9

=>37+a= 45 (closest multiple)

=>a =45-37

=>a = 8

☆Hence:

• The value of a is 8 .

hope it helps.....

Answer 2

Step-by-step explanation:

Given :-

98a974 is divisible by 9

To find :-

Find the value of a ?

Solution :-

Given number = 98a974

We know that

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

Sum of the digits

= 9+8+a+9+7+4

= 37+a

So, 37+a is divisible by 9

The multiples of 9 after 37 are 45,54,63,...

So the least possible value is 45

=> 37+a = 45

=> a = 45-37

=>a = 8

Therefore , a = 8

Answer:-

The possible value of a for the given problem is 8

Check:-

If a = 8 then the number is 988974

Sum of the digits

= 9+8+8+9+7+4

= 45

= 9×5

= It is divisible by 9

So Given number is divisible by 9

Verified the given relations in the given problem.

Used formulae:-

Divisibility by 9 :-

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