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