Question

sum of the digits of a two digit number is 9.When we interchange the digits,it is found that the resulting new number is greater than the original number 27. what is the two digit number ?​

Answer 1

so here let

x be one digit and another digit be 9-x

so the number will be

10x + 9-x

=9x + 9

so according to question if we inter change these it will be

(9-x )10+ x

=90-10x+ x

=90-9x

so ,

9x +9 + 27=90x - 9

=x = 3

so, the numbers are 9× 3 + 9 = 36

and the numbers are 36 and 63

please submit it as brainly answer

Answer 2

Let the digit on the tens place be a and the digit on the ones place be b

Then the original number is 10a +b

the sum will be a+b =9

therefore a=9-b

when we interchange the digit the no. becomes 10b+a

10b+a =27

10b+(9-b)=27

9b=27-9=18

b=18/9

b=2

then a =9-2=7

Ans .the no. is 72