Math, asked by parvatimalviya1979, 2 months ago

n be a 5 digit number such that n = 304a2 and 3 n then a=​

Answers

Answered by pulakmath007
1

The value of a = 0 , 3 , 6 , 9

Given :

n be a 5 digit number such that n = 304a2 and 3 | n

To find :

The value of a

Concept : A number is divisible by 3 if the sum of the digits of the number is divisible by 3

Solution :

Step 1 of 3 :

Write down the given number

Here it is given that n be a 5 digit number such that n = 304a2

Step 2 of 3 :

Find sum of digits of the number

The sum of digits of the number

= 3 + 0 + 4 + a + 2

= a + 9

Step 3 of 3 :

Find the value of a

Since n is divisible by 3

Then the sum of the digits of the number is divisible by 3

⇒ a + 9 is divisible by 3

⇒ a = 0 , 3 , 6 , 9

Hence the required value of a = 0 , 3 , 6 , 9

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