Question

the sum of the digits of the two digit number is 8. the number obtained by interchanging the digits exceeds the given number by 18 . find the number?​

Answer 1

Answer:

Step-by-step explanation:

Let the tens digit be x and unit digit be y

Given:

x+y=8  (1)

10y+x=10x+y+18

⇒9y-9x=18

⇒y-x=2  (2)

Adding (1) and (2), we get

2x=10

⇒y=5

substituting x in (2), we get

5-x=2

⇒x=3

as x=3 and y=5, the number is 35