Question

If I 13x5 is a multiple of 3, where x is a digit what
is the value of x
?​

Answer 1

$\bf\red{QuestioN:-}$

If 13x5 is a multiple of 3, where x is a digit what  is the value of x ?

$\bf\pink{AnsweR:-}$

Solution :-

According to the given condition,

• 13x5 is a number, which is a multiple of 3.

As we know,

• The sum of the digits of the multiples of 3 will be

• 3, 6 or 9.

So here,

• 1 + 3 + x + 5 must be equal to 3, 6 or 9.

• 1 + 3 + x + 5 = 9 + x

If this number is a multiple of 3 , then

• 9 + x = 3 , 6 or 9.

• 9 is already a multiple of 3.

• So x = 3 , 6 or 9.

Verification :-

1st Case :-

If x = 3

1335 will be the number.

1 + 3 + 3 + 5 = 12

1 + 2 = 3

1335 ÷ 3 = 445

Hence it is a multiple of 3.

Verified !!

☆-----------------------------------------------☆

2nd Case :-

If x = 6

1365 will be the number.

1 + 3 + 6 + 5 = 15

1 + 5 = 6

1365 ÷ 3 = 455

Hence it is a multiple of 3.

Verified !!

☆-----------------------------------------------☆

3rd Case :-

If x = 9

1395 will be the number.

1 + 3 + 9 + 5 = 18

1 + 8 = 9

1395 ÷ 3 = 495

Hence it is a multiple of 3 !

Verified !!

☆-----------------------------------------------☆

So the required answer for your question is ,

$\huge{\boxed{\boxed{\bf{\bigstar{3,6\:or\:9\bigstar}}}}}$

All Done !! ☺