Question

The sum of two digit number is 9. When the digits are interchanged the new number is greater than the original number by 27. Find the number​

Answer 1

Answer:

36 mark as brainlist

Step-by-step explanation:

let tens digit be x.

let unit digit be y.

number=x+y=9 .......i

original number=10x+y

number obtained by interchanging it's digits= 10y+x

10y+x=10x+y+27

10y-y=10x-x+27

9y=9x+27

9y-9x=27

y-x=3. .......(ii)

adding(i)and (ii)

X+y=9

y-x=3

2y=12

y=6

x=9-6=3

original number=10x+y=10*3+6=30+6=36

Answer 2

Answer:

The no. is 36

Step-by-step explanation:

We have x = 6 and y = 3

original no. = 10y + x

( putting values of x and y )

= 10 ( 3 ) + 6

= 30 + 6 = 36

hence the original no. is 36 .