The HCF and LCM of two number are 21 and 4641, respectively. If one of the numbers lies between 200 and 300, then find the two numbers.
Correct Answer: 273, 357
Explanation:
Let the numbers be 21a and 21b, where a and b are co-primes.
Then, 21a x 21b = (21 x 4641)
⇒ ab = 221
Two co-primes with product 221 are 13 and 17.
∴ Required number = (21 x 13, 21 x 17)
= (273, 357)
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