Question

The H.C.F of two numbers,each having three digits,is 17 and their LCM is 714 The sum of the numbers will be ?​

Answer 1

Answer: 221

Step-by-step 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

1st number = 17 × 6 = 102

2nd number = 17 × 7 = 221

Sum = 102 + 119 = 221

Hope this helps you

Please mark me as brainliest