1.

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»

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

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