Question

sum of digits of two digit number is 9 when eithier change the digit it is found that the resulting new number is greater than the original by 27 what is the two digit number

Answer 1

Answer:

Formula of 2 digit number-10 ×tens digit+ones digit

Answer 2

Step-by-step explanation:

Let the two digit number be XY where X is in ten's place and Y is in unit place =>it can also be written as 10(X)+Y =>10X+Y. Resulting new number is greater than the original by 27 =>10(Y)+X=27+10X+Y =>10Y-Y+X-10X = 27 =>9Y-9X =27 =>Y-X =3...(1). Sum of digits of two digit number is 9 =>X+Y=9...(2) Add (1) and (2) =>Y-X+X+Y =9+3 =>2Y=12 =>Y=6

Substitute Y=>6 in (2) =>X+6=9=>X=9-6=3. Hope it helps you. So the number is 63.