Question

sum of the digit of a two digit number is 14 when we interchange the digit or is found that the resulting new number is greater than the original number by 18 what is the two digit number ​

Answer 1

Answer:

let the number is xy means 10x+y

here x+y=14

interchanging the digits the new number is 10y +x

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

10y+x-10x-y=18

9y-9x=18

9(y-x)=18

y-x=18/9=2

y=2+x

again, x+y=14

x+2+x=14

2x=14-2=12

x=12/2=6

y=2+6=8

the two digit number is 68