Question

the sum of the digit of 2 digit number is 8 the number obtained by interchanging the digits exceeds the given number by 18 find the given numbers


with clear explanation​

Answer 1

Let the given number be 10x+y

according to the question;

x+y= 8 -------(eq1)

now , by interchanging the digits of the no. we get 10y+x

10y+x=10x+y+18

9y-9x=18

y-x=2

y=2+x

On substituting it eq 1

we get x=3

and y=5

therefore the given number is 35

I hope this helped u ☺️