Question

When the digits of no 41 are interchanged, it decreased by 27. How many other 2 digit nos satisfy this condition? a) 6 b) 5 c) 7 d) 8

Answer 1

Step-by-step explanation:

Given When the digits of no 41 are interchanged, it decreased by 27. How many  other 2 digit nos satisfy this condition? a) 6 b) 5 c) 7 d) 8

• Let the number be represented by 10 x + y
• Since it is interchanged we get x + 10 y
• According to the question by equating we get
•  10 x + y – 27 = 10 y + x
• 10 x – x = 10 y – y + 27
•   9x = 9 y + 27
•  9 x – 9 y = 27
•  Or x – y = 3
• Now the pair of numbers satisfying the above equation will be  5, 8
•     8 – 5 = 3

Reference link will be

https://brainly.in/question/15513214