Question

The number which is divisible by both 3 and 9 is ______

40364
30009
20205
60618

Answer 1

Step-by-step explanation:

20205

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Answer 2

➩ $\large\underline{\underline{\red{\textbf{\textsf{Given \: Question :}}}}}$

• The number which is divisible by both 3 and 9 is

➩ $\bf\large\underline{\underline{\red{Answer :}}}$

• The number which is divisible by both 3 and 9 is 20205.

➩ $\bf\large\underline{\underline{\red{Explanation :}}}$

First, we will check which numbers are divisible by 3.

★ Given Numbers -:

‏‏‎ ‎

40364

30009

20205

60618

‏‏‎ ‎

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❐ Divisibility rule by 3 -:

‏‏‎ ‎

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

‏‏‎ ‎

❐ Divisible by 3 -:

‏‏‎ ‎

a) 40364 = 4 + 0 + 3 + 6 + 4 = 17

⇒Since, 17 is is not divisible by 3.

⇒Therefore, the number 40364 is not divisible by 3.

‏‏‎ ‎

b) 30009 = 3 + 0 + 0 + 0 + 9 = 12

⇒Since, 12 is divisible by 3.

⇒Therefore, the number 30009 is divisible by 3.

‏‏‎ ‎

c) 20205 = 2 + 0 + 2 + 0 + 5 = 9

⇒Since, 9 is divisible by 3.

⇒The number 20205 is divisible by 3.

‏‏‎ ‎

d) 60618 = 6 + 0 + 6 + 1 + 8 = 21

⇒Since, 21 is divisible by 3.

⇒The number 60618 is divisible by 3.

‏‏‎ ‎

➥ So, the numbers 30009, 20205, 606018 are divisible by 3.

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Now, we will check which numbers are divisible by 9.

❐ Divisibility rule by 9 -:

➤ A number is divisible by 9 if the sum of is digits is divisible by 9.

‏‏‎ ‎

❐ Divisible by 9 -:

‏‏‎ ‎

a) 40364 = 4 + 0 + 3 + 6 + 4 = 17

⇒Since, 17 is is not divisible by 9.

⇒Therefore, the number 40364 is not divisible by 9.

‏‏‎ ‎

b) 30009 = 3 + 0 + 0 + 0 + 9 = 12

⇒Since, 12 is not divisible by 9

⇒Therefore, the number 30009 is not divisible by 9.

‏‏‎ ‎

c) 20205 = 2 + 0 + 2 + 0 + 5 = 9

⇒Since, 9 is divisible by 9.

⇒The number 20205 is divisible by 9.

‏‏‎ ‎

d) 60618 = 6 + 0 + 6 + 1 + 8 = 21

⇒Since, 21 is not divisible by 9

⇒The number 60618 is not divisible by 9.

‏‏‎ ‎

➥ So, the number 20205 is divisible by 9.

‏‏‎ ‎

➲ Therefore,

The numbers which is both divisible by 3 & 9 is 20205.

‏‏‎ ‎

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$\large{\boxed{ \underline{ \underline{\mathbb{ \red{★ \: Be \: \: Brainly \: ★}}}}}}$