Question

The sum of a two digit number and the number obtained by reversing the digit is 99 if number obtained by reversing the digit is 9 more than the original number. Find the number.​

Answer 1

Step-by-step explanation:

10y+x+10x+y=99

11x+11y=99

x+y=9...... (1)

10y+x=10x+y+9

9y-9x=9

y-x=1.... (2)

adding eq.1 and eq.2

2y=10

y=5

x=4

Original No. is 54

and the number obtained by reverding the digit is 45