"The difference of the two digit chosen number and the number obtained by reversing the digits is divisible by 9."

Verify this property for the numbers 67 and 39.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Consider the number 67.

Number after reversing the digits is 76.

Difference = 76 - 67 = 9

Clearly the difference is divisible by 9.

Again, consider the number 39.

Number after reversing the digits is 93.

Difference = 93 - 39 = 54 = 9 x 6

Clearly the difference is divisible by 9.

Answered by  | 4th Jun, 2014, 03:23: PM