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The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300 , the two numbers are ?
Answer & Solution
Correct Answer:
Option
A
Product of number = 21 × 4641 = 97461
Let the numbers be 21a and 21b
Then 21a × 21b = 97461
ab = 221
Now, co-primes with product 221 are (1, 221) and (13, 17)
So, the numbers are (21 × 1, 21 × 221) and (21 × 13, 21 × 17)
Since one number lies between 200 and 300, the suitable pair is (273, 357)
Let the numbers be 21a and 21b
Then 21a × 21b = 97461
ab = 221
Now, co-primes with product 221 are (1, 221) and (13, 17)
So, the numbers are (21 × 1, 21 × 221) and (21 × 13, 21 × 17)
Since one number lies between 200 and 300, the suitable pair is (273, 357)
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