Question

Find the value of $A$ if the $4$-digit number $3A5A$ is divisible by both $3$ and $5$.

Answer 1

Answer:

sorry ....wrong question..

Answer 2

The value of A is 5 and the number is 3555.

1) Given 4 digit number 3A5A , the number is divisible by both 3 and 5.

2) A number is divisible by 3 if the sum of all its digits is divisible by 3 .

3) Sum of digits of the given number is 3+A+5+A = 8+2A.

4) A number is divisible by 5, only if its unit or one's digit is 5 or 0.

5) Hence, A can have values only 5 or 0.

6) putting value 5 in equation, 8+ 2*5 = 18 which is divisible by 3.

7) Putting value 0 in equation, 8+2*0 = 8 which is not divisible by 3.

8) Hence, the value of A is 5.