Question

The digit at units place of a two digit number is 3 less than the digit at tens place. If 27 is
subtracted from the number, the digits interchange their place. Find the numbers.​

Answer 1

Answer:

It is valid for all two digit numbers whose unit digit is 3 less than tens digit.

Step-by-step explanation:

You can take any example like:

Let the number be 41 ,

41 - 27 = 14

so the tens and unit digits are reversed.

Answer 2

Answer:

Step-by-step explanation:

Let the one's digit be y and tens digit be x,

Number = 10x + y

Then,x=3y⋯(i)  

Reversed number = 10y + x  

A.t.Q :- (10x+y)−(10y+x)=36 Put x = 3y in eq. (i)

⇒9x−9y=36

⇒x−y=4⋯(ii)

⇒3y−y=4

∴2y=4  x=3y  ∴x=6

y=2

∴ Number = 62