Question

47. A number has two digits. The units digit is 4-time the
ten's digit. If the difference between the number and
the number obtained by reversing the digits is 54, Find
the original number.
(a) 41
(b) 28
(d) 82
(c) 14​

Answer 1

Let the ten’s digit be x
Let the unit digit be 4x
In option (a)
Ten’s digit is 4
Unit digit is 4x=4(4)=16
So option (a) is wrong
In option (b)
Ten’s digit is 2
Unit digit is 4x=4(2)=8
By reversing 28 is 82
82-28=54
So option (b) is correct
In option (c)
Ten’s digit is 8
Unit digit is 4x=4(8)=32
So option (c) is wrong
In option (d)
Ten’s digit is 1
Unit digit is 4x=4(1)=4
By reversing 14 is 41
41-14=27
So option (d) is wrong