Question

The difference between a two – digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the tenths digit to that of the units digit of the number is 2:1?

A. 4
B. 8
C. 16
D. 9
E. 6

Answer 1

The difference between the sum and the difference of the digits of the number is 9.

Step-by-step explanation:

To find the difference between the sum and the difference of the digits of the number, we need to determine the digits of the number. Let's assume the tenths digit is 2 and the units digit is 1.

If the tenths digit is 2 and the units digit is 1, the number can be written as 21.

The number obtained by interchanging the digits is 12. The difference between 21 and 12 is 9. Therefore, the difference between the sum and the difference of the digits is 9.