Question

a 2 digit number becames 5/6th of itself when its gets reversed .the two digit different by one .the number is

Answer 1

let the number at units place be x
and a number that tens place be y
therefore the no will be
10x+y
and if revered 10y+x
x-y=1
x=1+y-------(1)

10x+y=5/6(10y+x)
60x+6y=50y+5x
55x=44y
5x=4y
put x=1+y from (1)
5+5y=4y
y=5

put the value of y
x=4

hence the no is 45