HCF & LCM · Question 29 · Hard
The HCF of two numbers is 23 and their LCM is 2277. If both numbers lie between 200 and 300, what is their sum?
- 506
- 483
- 460
- 230
Answer and explanation
Answer: C. 460
Explanation: 2277 ÷ 23 = 99, so the numbers are 23a and 23b with a, b co-prime and ab = 99. The pairs are (1, 99) and (9, 11); only 23 × 9 = 207 and 23 × 11 = 253 lie between 200 and 300. Sum = 460.
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