Question

The digit of a two digit number differ by 2. If the digit are interchanged of the resulting number is added to the original number, we get 154. Find the number.​

Answer 1

Step-by-step explanation:

let number be 10x+y

given

X-Y= 2..........(1)

(10x+y )+(10y+x)= 154

11(x+y)= 154

x+ y= 14..............(1)

adding (1) and (2)

2x= 16

x= 8

substituting in (1)

8-y= 2

y= 6

therefore number is 86.

if x>y=> 86

if x<y => 68

becouse which is greater ,is not

mentioned in the question.

answer= 86 ,68