The LCM is divisible by 5^3, and LCM + HCF = 2 * 5^2 * 23 is divisible by 5^2. Therefore, HCF is divisible by 5^2, which means that the second number is also divisible by 25. Of the four candidates, only 225 is divisible by 25.

It is also possible to find the LCM and HCF of the four possible pairs and see if their sum is 1150.