Question

the sum of two digit and its reversible is the multiple of_______

Answer 1

sum of two digit number and number obtained by reversing its digits is always multiple of 11

Lets Check:

Let x be the ten place digit and y be the unit place digit

we know that two digit number is formed as 10(Ten Place Digit) + Unit place digit

∴ number is 10x + y

Number obtained by reversing the order of digit = 10y + x

Sum = 10x + y + 10y + x

= 11x + 11y

= 11 (x + y), so we can say it is multiple of 11

for example

32 + 23 = 55 multiple of 11

12+21 = 33   multiple of 11

56 + 65 = 121  multiple of 11