Question

A number consist of 2 digits whose sum is 4 if 18 is added to the number the digit get interchanged then the number is

Answer 1

let the two digit number be 10x+y as we represent a two digit number in general in this way only.and the reversed form will be 10y+x.

the tens digit is =x

the ones place digit =y

according to question,

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

and x+y=4-------(II)

so in ii equation,

x=4-y

substituting the value of x in equation(I)

10(4-y)+y+18=10y+(4-y)

=>40-10y+y+18=10y+4-y

=>58-9y=9y+4

=>58-4=9y+9y

=>54=18y

=>y=54/18

=>y=6/2

=>y=3

so the units digit is 3(y)

and from the (ii) equation

x+3=4

so x=1

and therefore putting values of both in the place of x and y we get the original number is 13.

hope you liked this please mark it as brainliest if you are satisfied.