Question

Write the smallest and greatest value of a so that the number formed is divisible by 3.​

Answer 1

 A number is divisible by 3 if its sum of all digits is divisible by 3

(a) ___6724    

6+7+2+4= 19 

if we add 2 then the digit is divisible by 3  ( 19+2=21)

2 is the smallest digit 

26724 = 2 + 6 + 7 + 2 + 4 = 21

if we add 8 then the digit is divisible by 3  ( 19+8=27)

8 is the largest digit 

26724 = 8+ 6 + 7 + 2 + 4 = 36

b)  (b) 4765 ___2

4+7+6+5+2=24

if we add 0 then the digit is divisible by 3  ( 24+0=24)

0 is the smallest digit 

4765 ___2 = 4+ 7+6+5+0+2= 24

if we add 9 then the digit is divisible by 3  ( 24+9=33)

9 is the largest digit 

4765 ___2 =4+ 7+6+5+9+2= 33

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As we can see , solving 2 examples we get 2 numbers which are divisible by 3 that are 36 and 33.

Hence, 36 and 33 are divisible by 3.

Hence,SOLVED!

Answer 2

Step-by-step explanation:

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Asked on December 27, 2019 by

Shafaque Manas

Write the smallest and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by 3 :

a) _6724

b) 4765_2

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ANSWER

(a)

The number is given as _6724.

The number is divisible by 3 if the sum of its digits is divisible by 3.

Adding the digits of the given number,

6+7+2+4=19

If 2 is added to the above number then the number will become 21 which is divisible by 3 and also, 2 is the smallest number that can fill the missing space.

Now, if 8 is added to the given number then the number will become 27 which is divisible by 3 and 8 is largest number that can make the given number divisible by 3.

Therefore, the smallest number will be 2 which will form 26724 and the largest number will be 8 forming 86724.

(b)

The number is given as 4765_2.

The number is divisible by 3 if the sum of its digits is divisible by 3.

Adding the digits of the given number,

4+7+6+5+2=24

If 0 is added to the above number then the number will become 24 which is divisible by 3 and also, 0 is the smallest number that can fill the missing space.

Now, if 9 is added to the given number then the number will become 33 which is divisible by 3 and 9 is largest number that can make the given number divisible by 3.

Therefore, the smallest number will be 0 which will form 476502 and the largest number will be 9 forming 476592