Question

The unit digit of a two digit number is twice its tens digit. If we add 27 in the number, the digits of the

number will reverse. Find the number​

Answer 1

Let the tens digit be x and hence its unit digit will be 2x

Now the number is:–

==>10 $\times$ x + 2x

==>10x + 2x

==> 12x

The reverse of the digits will form the number:–

==>10 $\times$ 2x + x

==>20x + x

==> 21x

Now given in the question that:-

★ original number+27 = Reverse of the number

Now the equation formed will be:–

==>12x+27=21x

==>27=21x-12x

==>9x=27

==>x=27÷9

$\huge{ \Longrightarrow \: x=3}$

And the number will be:–

12x=12 $\times$ 3 = 36