Question

the difference between a 2 digit no. And the number obtained by reversing the digits is 45 . if sum of the digit of the original no.is 13 .then find the no.​

Answer 1

Answer:

Step-by-step explanation:

Let the obtained number be xy.

It can be written as 10x + y

As x is in tens place and y is in unit place

The the reverse of the number is given by 10y + x

Given 10x + y - ( 10y + x ) = 45

We get 9x - 9y = 45

x - y = 5 ...(a)

Given x + y = 13 ...(b)

Add a and b , we get 2x = 18

x = 9

Substitute x value in a or b , we get

y = 4

Therefore the possible numbers are 94 or 49