- #1
VinnyCee
- 489
- 0
Homework Statement
If you find the sum of any two digit number and the number formed by reversing its digits, the resulting number is always divisible by which three positive integers?
Homework Equations
None.
The Attempt at a Solution
[itex]\left(10\ x\ +\ y\right)\ +\ \left(10\ y\ +\ x\right)\ =\ 11\ x\ +\ 11\ y[/itex]
Where x is the tens place and y is the ones place. This is divisible by 11, and 1 (as are all integers) and x + y.
[itex]\therefore\ x\ +\ y\ ,11\ ,1\ |\ 11\ x\ +\ 11\ y[/itex]
Last edited: