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