Question

A number consists of two digits whose sum is 9 if 27 is subtracted from the number is a digits are reversed. find the number

Answer 1

Let us assume the digits of a two-digit number is be x and y

Then the two-digit number is 10x + y and reversed number = 10y + x

Given x + y = 9 ---------------1

Also given:

 (10x + y) – 27 = 10y + x

  9x – 9y = 27

  x – y = 3 ----------------2

Add equation 1 and equation 2

2x = 12

x = 6

Therefore, y = 9 - x = 9 - 6 = 3

The two-digit number is 10x + y = (10*6) + 3 = 63

Answer 2

Step-by-step explanation:

Let us assume the digits of a two-digit number is be x and y

Then the two-digit number is 10x + y and reversed number = 10y + x

Given x + y = 9 ---------------1

Also given:

(10x + y) – 27 = 10y + x

 9x – 9y = 27

 x – y = 3 ----------------2

Add equation 1 and equation 2

2x = 12

x = 6

Therefore, y = 9 - x = 9 - 6 = 3

The two-digit number is 10x + y = (10*6) + 3 = 63

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