5. A number has two digits whose sum is 14. If 36 is added to the numb

1.	5. A number has two digits whose sum is 14. If 36 is added to the number, its digits areinterchanged. The number is.answer in one variable
Answer» SOLUTION:- Let the unit's digit be x as sum of digit is 14,ten's digit is 14-x, Then the number is 10x(14-x)+x $i.e. \: 140 - 10x + x \: or \: 140 - 9x$ Reversing the digit number, unit digit becomes 14-x and tens digit becomes, Hence number, $10x + 14 - x = 9x + 14$ As adding 36 + 140 -9x MAKES it 9x + 14 , We have, $140 - 9x + <klux>36</klux> = 9x + 14$ $176 - 14 = 9x + 9x$ $18x = 16x$ $x = 9$ And Hence, Unit's digit is 9 and tens digit is 5 and number is 59. Answer PROVED:)