Question

a number has two digits the digit at tens place is four times the digit at unit place if 54 is subtracted from the number the digits are reversed find the number​

Answer 1

Step-by-step explanation:

Let the number be x

So

First its ten's digit is 4 times the units place

[4×10+1]X=41x

or the other combination

(8x10+2)X=82x

82-54=28 is the reverse of number...

So 82 is that number.

or

Let the two digit no be 10x + y

according to the question:

4x = y

also,

(10x + y ) - 54 = 10y + x

on solving this

9x - 9y = 54

taking 9 common:

9( x-y) = 54

substituting 4x = y

x-4x= 6

-3x = 6

x= -2

y = 8

so the no is 28 or -28