In a two-digit number, the digit at unit place is 1 more than twice of the digit at tens place. If the digit at unit and tens place be interchanged, then the difference between the new number and original number is less than 1 to that of original number. What is the original number?
Choose the correct answer.
A) 52 B) 73 C) 25 D) 49 E) 37
Let the original number be l0 x + y   y = 2x + 1....(i)   and (l0y + x) – (10x + y) = 10x + y – 1   or, 9y – 9x = l0x + y – 1   or, l9x – 8y = 1 ...(ii)   Putting the value of (i) in equation (ii) we get,   19x – 8(2x + 1) = 1   or, 19x – 16x – 8 = 1   or, 3x = 9 or, x = 3   So, y = 2 × 3 + 1 = 7   Answer 37   \ original number = 10 × 3 + 7 = 37
<result>E</result>
In a two-digit number, the digit at unit place is 1 more than twice of the digit at tens place. If the digit at unit and tens place be interchanged, then the difference between the new number and original number is less than 1 to that of original number. What is the original number?