Problema Solution
The sum of the digits of a two digit number is 11. The number obtained by reversing the order of the digits is 27 less than the original number. Find that original number.
Answer provided by our tutors
If the two digit number is xy then the conditions will be:
x + y = 11...(1)
and 10y + x = 10x + y - 27
=> 9y - 9x = -27
=> x - y = 3...........(2)
On adding, we will get:
x = 7
On putting x = 7 in equation (1) , we will get:
y = 4
So the original number is 74.