Question

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference betwen the sum and the difference of the digits of the number if the ratio between the digits of the number is1:2?

Answer 1

Answer: 8

Step-by-step explanation:

Let ten's and unit's digits be  = 2x and x respectively.

the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.

Then, (10 x 2x + x) - (10x + 2x) = 36

9x = 36  

x = 36 / 9.

x = 4.

∴ Required difference = (2x + x) - (2x - x) = 2x = 8