Question

One of the digits of a two digit number is four times the other digit. If you interchange the digits of this two digit number, the resulting number is greater than the original number by 54. What is the original number ?​

Answer 1

Step-by-step explanation:

Let one digit be x.

So, the other digit is 4x

The number formed will be 10×x + 4x.

=10x+4x

=14x.

After interchanging the digits,

10×4x + x

40x + x

=41x.

After difference of both numbers,

41x - 14x =54

27x = 54

X = 2

So, the number formed is 10×2 +4×2 = 20+8=28.

Or it can also be 82.