Question

if the 3 digit no. 13A is divisible by 9 , then what is the value of A
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Answer 1

Answer:

9

Step-by-step explanation:

value of a = 9, 13×9 = 117

Answer 2

Given,

3 digit number $\[ = 13A\]$

Divisible by 9

Solution,

Divisibility rule of 9:

The rule says that if the sum of digits of any number is divisible by 9, then the number is also divisible by 9.

$\[\begin{array}{l} = 1 + 3 + A\\ = 4 + A\end{array}\]$

This number is divisible by 9.

Put $\[A = 5\]$ so that sum is divisible by 9.

$\[\begin{array}{l} = 4 + 5\\ = 9\end{array}\]$

So at  $\[A = 5\]$ sum is divisible by 9.

$\[\begin{array}{l} = \frac{{135}}{9}\\ = 15\end{array}\]$

Hence the value of A is 9.