Question

in a 2 digit number the sum of the digit is 8.if 18 is added to the number then the digit are reversed.find the number​

Answer 1

Answer:

35

Step-by-step explanation:

Let digits of the number be x and y.

Then the number is 10x +y

Given, x+y=8 ; x=8-y

If 18 is added to the number it would get reversed

18+(10x+y)=10y+x

By substituing x value

18+10(8-y)+y=10y+8-y

18+80-10y+y=9y+8

98-9y=9y+8

9y+9y=98-8

18y=90;y=5

x=8-y;x=8-5;x=3

Therefore,the number is

10x+y=10*3+5=35