"The sum of a two digit number and the number obtained by reversing its digits is divisible by 11." Verify this property for the numbers 32 and 89.

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

Expert Answer:

Consider the number 32.

Number after reversing the digits is 23.

Sum = 32 + 23 = 55 = 11 x 5

Clearly the sum is divisible by 11.

Again, consider the number 89.

Number after reversing the digits is 98.

Sum = 89 + 98 = 187 = 11 x 17

Clearly the sum is divisible by 11.

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