Question

A number consist of two digits whose sum is 8. if 18 is added to the number, it's digits get interchanged. find the number

Answer 1

Hello here is your answer by Sujeet yaduvanshi ☝☝☝☝☝☝☝

Let to be 10' unit digit number be x
then

Let to be 1 unit digit number be y

Again,

x+y=8

Again

10x+y+18=10y+x

10x-x+y-10y=-18

9x-9y=-18

9(x-y)=-18

x-y=-2


Solving the equation by elimination method

x+y=8
x-y=-2
____
2y=10

y=10/2
y=5

Again


x+y=8

x+5=8

x=8-5

x=3

Then,


Required Number=10x+y

10*3+5
30+5

35

____________________________

Answer:- 35