Question

Sum of two digits number is 7. When we interchange the digits, it is found that the resulting new

number is greater than the original number by 27. What is the two- digit number?​

Answer 1

Answer:

36

Step-by-step explanation:

Let the digits at tens place and ones place: x and 9−x respectively.

∴ original number =10x+(9−x)

=9x+9

Now Interchange the digits: Digit at ones place and tens place: x and 9−x respectively.

∴ New number: 10(9−x)+x

=90−10x+x

=90−9x

AS per the question

New number = Original number +27

90−9x=9x+9+27

90−9x=9x+36

18x=54

x=1854

x=3

Digit at tens place ⇒3 and one's place : 6

∴ Two digit number: 36