Question

3.
The difference of digits of a two digit number is 3. On
reversing the order of digits, the new number
decreases by 27 than original number. Find the
number.​

Answer 1

Given

The difference of two-digit number is 3.On reversing the order of digits, the new number is diminished by 27 than the original number.

To find :

The number.

Solution :

Let two-digit numbers are x and y

Units digit is y

Tens digit = 10x

So, The number is 10x + y

Reversing the digits = 10y-x

Difference = 3

The new number diminished by 27

According to the given question

=> 10x + y - 10y - x = -27

=> 9x - 9y = -27

=> 9(x - y) = -27

=> x - y = -3

=> So, x - y = -3

Reversing y - x = 3.

Ten digit number should be more than the units digit. so , we can choose y = 9 and x = 6 that equals to 96.

The difference between these two numbers is 3.

=> 9 - 6 = 3.

On, Reversing the digits, The new number diminished by 27 than the original number.

=> Reverse of 96 = 69

=> 96 - 69 = 27.

There would be other numbers as answers for this question such as 85, 74, 63, 52, 41.

Hence: The Number Can be 96, 85, 74, 63, 52, 41.