Question

The sum of the digits of a two-digit number is 15. If the number formed by reversing the digits is less than the original number by 27, find the original number. Check your solution.

Answer 1

Step-by-step explanation:

Let the original number be 10x+y

So, Sum of its digits = x+y = 15 ...... (1)

If the digits are interchanged then

New number = 10y+x

Acc. to the question,

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

By solving it We will get

x-y=3 ...... (2)

Adding both eqtn. (1) and (2) ,

We get x= 9

Putting this value in (1) ,

we get y= 6

So the number will be 96 i.e., 10+y

Hope it helps you...

Please Mark it as Brainliest Answer