Question

a two digit number is such that the sum of it's is 9. On adding 9 to the number, the digits are reversed.find the number​

Answer 1

Answer:

45

Step-by-step explanation:

let the number be 10x + y

ATQ,

x + y = 9

10x + y + 9 = 10y + x

9x - 9y = -9

x - y = -1

solving for x and y

x = 4 , y=5

so the no. is 45

Answer 2

Let the two digit number is 10x+y

A/q,

x+y=9

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

(10x+y)+9=10y+x

10x+y+9=10y+x

9x-9y= -9

Putting the value of x which we get from 1st eq.

9(9-y)-9y= -9

81-9y-9y= -9

-18y= -90

y= 90/18