A is a digit and 3 A18 is a multiple of 6. Find the value of A​

2 thoughts on “A is a digit and 3 A18 is a multiple of 6. Find the value of A​”

1. Answer:

   0

   Step-by-step explanation:

   The divisibility property of 6 –

   When the number is divisible by 2 and 3.

   It is divisible by 2

   3+1+8=12

   Thus A should be 0.

   Hope it helps…

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2. Step-by-step explanation:

   Given :–

   A is a digit and 3 A18 is a multiple of 6.

   To find:–

   Find the value of A?

   Solution:–

   Given number = 3 A18

   Given that it is a multiple of 6

   => It is divisible by 6

   => It is divisible by both 2 and 3

   Checking for divisibility by 2:-

   The number 3A18 is divisible by 2 because it has 8 is in its ones place.

   Checking for divisibility by 3:-

   The sum of the digits in the given number must be divisible by 3

   => 3+A+1+8

   => 12+A

   So 12 is a multiple of 3

   Then

   The possible values of A are 0,3,6,9,…

   Therefore, A = 0

   Answer:–

   The least possible value of A is 0

   Check:–

   If A = 0 then the number = 3018

   3018/6 = 503

   It is a multiple of 6 .

   Verified the given relation.

   Used formulae:–

   Divisibility by 2:–

   A number is divisible by 2 , If a number has one of the digits 0 or 2 or 4 or 6 or 8 in its ones place .

   Divisible by 3:–

   A number is divisible by 3, if the sum of all the digits is divisible by 3.

   Divisibility by 6:–

   A number is divisible by 6,if the number is divisible by both 2 and 3.

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