Question 1143565
<br>
45 divided into the sum of two whole numbers as close to equally as possible gives the pair (22,23).  The difference between those two whole numbers is 1.<br>
You can find other pairs by subtracting 1 from the first number in the pair and adding 1 to the second.<br>
Each time you do that, the difference between the two numbers in the pair increases by 2.<br>
Since the difference between the two whole numbers has to be less than 10, you can do that 4 times -- making the difference between the two whole numbers in the pair 1+4(2) = 9.<br>
That gives you the pairs (22,23), (21,24), (20,25), (19,26), and (18,27).<br>
That's a total of 5 pairs.<br>
It's not clear whether you are to look for ordered pairs or just pairs.  If you are looking for ordered pairs, then each of the 5 pairs shown can be switched, giving you a total of 10 pairs.<br>
So the answer is either 5 pairs or 10 ordered pairs....