Question

if u have guts answer this....sum of a two digit number is 9 .when we interchange the digits , it is found that the resulting new number is greater than the original number by 27 .what is the two digit number

Answer 1

Let tens number be x and ones place be y.
x+y=9                →1
Orginal number=10x+y
New number=10y+x
10x+y+27=10y+x
10x-x+y-10y+27=0
[9x-9y+27=0]/9
x-y+3=0
x-y=-3             →2
By eliminating →1 and →2.
x+y=9
x-y=-3
2x =6
x=3                    →3
Substituting Eqn→3 in →1.
x+y=9
3+y=9
y=9-3
y=6
Therefore one number is 3 and other in 6.
So original number = 10x+y
                                 =10X3+6
                                 =30+6
                                 =36