Question

if the number 65x5 is divisible by 3 then the least digit to replace 'x' is​

Answer 1

Step-by-step explanation:

By using divisibility rule of 3 ,

we need to add the number

6+5+x+5=16+2

therefore the number is 18

Answer 2

Given:

65x5 is divisible by 3

To find:

To find the least value of x in 65x5 in such a way that number is divisible by 3

Solution:

To find which digit stands at tens place in 65x5 when it is divisible by 3, we need to apply the divisibility rule of 3.

Divisibility rule of 3: According to this rule the sum total of all the digits gives the resultant number which is divisible by 3, then the number completely is divisible by 3.

To apply this rule we need to find sum total of all the digits of number 65x5.

6 + 5 + x + 5 = Number divisible by 3

16 + x = Number divisible by 3

The nearest number to 16 that is divisible by 3 is 18

∴ 16 + x = 18

∴ x = 18 - 16

∴ x = 2

=> Sum of digits of number: 6 + 5 + 2 + 5 = 18

=> Number is 6525

If we replace 'x' by 1 or by 3, the number is not divisible by 3

Hence, the least number that can replace 'x' is 2 and the number is 6525 which is divisible by 3.

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