Question

3. Sum of the digits of a two-digit number is 9. When we interchange the digits, it is
found that the resulting new number is greater than the original number by 27. What
is the two-digit number?​

Answer 1

Explanation:

Given :

The sum of the two digits is 9

.

On interchanging the digits, the resulting new number is greater than the original number by 27.

Let us assume the digit of units place be x.

Then the digit of tens place will be 9-x.

Thus the two-digit number is 10(9-x) + x

Let us reverse the digit

the number becomes 10x + (9-x).

As per the given condition

10x + (9-x) = 10(9-x) + x + 27

= 9x + 9 = 90 – 10x + x + 27

= 9x + 9 = 117 – 9x

On rearranging the terms we get,

=18x = 108

x = 6

So the digit in units place is 6

Digit in tens place is 9-x= 9-6=3

Hence the number is 36

Answer 2

Answer:

it came greatest number because you have interchange.