Question

Madhuri takes a 2-digit number. She then reverses it and subtracts the result from the original number, getting 54 as her answer. How many such numbers are possible?​

Answer 1

Answer:

10y+x=(10x+y)-54

(10x+y)-(10y+x)=54

9x-9y=54

9(x-y)=9×6

x-y=6

so the numbers are x=8 & y=6

Answer 2

The required numbers are 28 and 39.

Step-by-step explanation:

Let one's digit be 'x'.

Let ten's digit be 'y'.

So, the number would be

$10y+x$

The reversing number would be

$10x+y$

According to question, it becomes,

$(10y+x)-(10x+y)=54\\\\9y-9x=54\\\\y-x=\dfrac{54}{9}=6$

So, it can be (2,8) (3,9).

So, the required numbers are 28 and 39.

# learn more:

Sridevi takes a 2 digit number and subtract it from ​the number obtained by reversing the original number.she also gets the answer 54.how many such numbers are possible

https://brainly.in/question/11254429