Question

A two digit number is 27 less than the number formed by reversing the digits. If the sum of the digits is 15, find the number.

Answer 1

Take the two digit number to be a and b. solve the two equations

so a+b=15 ------- equation 1. simultaneously.
always a two digit number is not less than 10; so it will be 10a+b, b=9 , a=6
This number 10a+b is less than the number 10b+a after reversing by 27. The original number=69
Meaning 10a+b+27=10b+a After reversing=96.
After solving it you will get the equation (9a-9b=-27) ----- equation 2. ANS=69