Question

A number has two digits. The digit at tens place is four times the digit at unit place. If the digits are reverced the new number will be 54 less than the original number. find the number

Answer 1

Let the number be xy
The reversed number be yx
10y+x+54=10x+y
9x-9y=54
4y=x(given)
36y-9y=54
27y=54
Y=2 then x=8
Therefore the number is 82

Answer 2

Let the number be xy

The reversed number be yx

10y+x+54=10x+y

9x-9y=54

4y=x(given)

36y-9y=54

27y=54

Y=2 then x=8

Therefore the number is 82