Question

Sum of the digit of a two digit number is 9 when we interchange the digit it is found that the resulting new number is greater than the original number by 27 what is the two digit number plz ans very fast i will mark as brainliest step by step

Answer 1

let ones digit be X
tens digit be y
two digit no. =10y+x
ATQ,
case 1,
x+y=9. -1 eq.

case 2,
=10x+y=10y+x+27
=9x-9y=27
=x-y=3. -2 eq.


By eq. 1 and 2
=x+y=9
=x-y=3

2x=12
x=6

y=9-6 = 3
two digit no. 36