11. The sum of the digits of a two digit number is 12. If the number f

1.	11. The sum of the digits of a two digit number is 12. If the number formed by reversing its digits is greaterthan the original number by 18, find the original number.
Answer» Let unit place digit be x and ten place digit is (12 - x) Then,Original Number = 10(12 - x) + x If digits are reversedThen number will be equal to10x + 12 - x As per given condition10x + (12 - x) = 10(12-x) + x + 18 9x + 12 = 120 - 9x + 18 18x = 126 x = 126/18 = 7 Therefore,Original Number = 120 - 9*7= 57

11. The sum of the digits of a two digit number is 12. If the number formed by reversing its digits is greaterthan the original number by 18, find the original number.

Answer»

Let unit place digit be x and ten place digit is (12 - x)

Then,Original Number = 10*(12 - x) + x

If digits are reversedThen number will be equal to10x + 12 - x

As per given condition10x + (12 - x) = 10*(12-x) + x + 18

9x + 12 = 120 - 9x + 18

18x = 126

x = 126/18 = 7

Therefore,Original Number = 120 - 9*7= 57