Question

a number consists of two digits whose sum is 8, if 18 is added to the number, it's digits are reversed .find the number

Answer 1

Let the no. be 10x and y
Given 
x+y=8 -----(1)
From the given data 
10x + y + 18 = 10y + x
⇒9y - 9x = 18
⇒9(y - x) = 18
⇒y - x = 2 ------(2)
By solving equation (1) and (2) we get 
x=3 , y=5
The no. is 35

Answer 2

Step-by-step explanation:

Let the one number be x and another number be 8 - x.

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10x + (8 - x) + 28 = 10(8 - x) + x

10x + 8 - x + 18 = 80 - 10x + x

9x + 26 = 80 - 9x

9x + 9x = 80 - 26

18x = 54

x = 3

Therefore,

One number = x = 2

Other number = (8 - x) = 8 - 3 = 5