The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be:

Explanation:-

Let the numbers be 17x and 17y where x and y are co-prime.
LCM = 17xy.
Now, 17xy = 714;
Or, xy = 42 = 6*7;
→x = 6 and y = 7;
Or, x = 7 and y = 6;
1^st number = 17*6 = 102;
2^nd number = 17*7 = 221;
Sum = 102+119 = 221.