Question

the tens digit of a two digit number is thrice the unit digit the new number obtained by interchanging the digits is 54 less than the original number find the original number​

Answer 1

Answer:

93

Step-by-step explanation:

Let say 'x' is digit in one's place so 3x is digit in tens place.

So number is 10.3x+x=31x

Now if interchanging the position of digit new number is 10x+3x=13x

As given now number is less than 54 from old number.

31x−54=13x

⇒31x−13x=54

⇒18x=54

⇒x=54/18

⇒x=3

So, the number is 10.3.3+3=93

∴ The original number is 93.