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 ?

A. 273, 357

B. 273, 359

C. 273, 361

D. 273, 363

Answer: Option A

Solution(By Examveda Team)

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)