Question

in the sum of a two digit number is 9 and if the number is changed then the sum of the two digit number is most 27 more then what is the number​

Answer 1

Let one digit be x

and other be y

ATQ

x+y= 9

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

Original number = 10y+x

New number = 10x+y

ATQ

10y+x+27 = 10x+y

Putting value of x, we get

10y+9-y+27 = 10(9-y) + y

9y+36. = 90-10y+y

9(y+4) = 90-9y

9(y+4) = 9(10-y)

y+4. = 10-y

2y. = 6

y = 3

Putting value of y in (1)

x = 9-3

x = 6 .

So the original number is 10*3+6

30+6= 36.