Question

sum of the digits of a two digit number is 18 . when we interchange the digit , it is found that the resulting new number is greater than the original number by 54 . what is the two digits nmbers

Answer 1

x+y=18......eq 1

original no =10x+y

when we interchange the digit required no is 10y+x

ATQ

10y+x-54=10x+y

10y-y+x-10x=54

9y-9x=54

9(y-x)=54

y-x=6

y=6+x .......eq 2

from eq 1 nd 2 we get

x+y=18

x+6+x=18

2x=18-6

x=12/2=6

y=12