Question

The digit at the ten,s place of a two digit number is four times that in the unit place. If the digits are reversed, the new number will be 54less than the original number. Find the number​

Answer 1

x=4y.................(1)
if the digits are reversed the new no. become 10y+x
Hence
10y+x=10x+y-54.............................(2)
Put the value of x from 1 in 2 we get
10y+4y=40y+y-54
27y=54
y=2
Therefore x=8