Question

​ two digit number is divisible by 9. Number when multiplied by the sum of the digits is 486. Given that the digits are unequal find the number.

Answer 1

We are going to use a little trick in this question --> We know that any number that is divisible by 9 will also mean that the sum of its digits will always be 9.

In the problem statement, it says "Number when multiplied by the sum of the digits is 486." Now we know that the sum of digits is going to be 9. So lets divide 486 by 9 to get 54 which is our answer.

You can even test your answer by employing the condition given in the problem statement.

Answer 2

Answer:

Step-by-step explanation:let the one digit no. be y.

Let the two digit no. be x.

A.T.Q

x+y= 9 ...........(1)

(x+y)(10x+y) = 486 ..................(2)

Put eq.(1) in eq.(2)

9(10x+y) = 486

10x+y = 54............(3)

Eq.(1) - Eq.(2)

x=5

y=4

So, the required number is 54.