Question

(-2) The number obtained by reversing a two digit number is
18 more than the original number.
IF the
sum of its digit is 8 find the number

Answer 1

Step-by-step explanation:

Let the given number be xy

xy can be written as 10x+y

According to the given data

xy=yx+18

⇒10x+y=10y+x+18

⇒9y−9x=18

⇒y−x=2 ………..(1)

and also its given that sum of digits = 8

⇒x+y=8 ………(2)

Solving equation (1) & (2) we get

x+y=8

x−y=−2

__________________

2x=6

x=3 and y=5

Hence the given number is 35.