2021 · Q5
The sum of LCM and HCF of two numbers is 536 and the difference between LCM and HCF is 296. If one of the numbers is 104, then what is the other number?
Elementary MathematicsHCF and LCM
- A420
- B480
- C484
- D506
Explanation
From L + H = 536 and L − H = 296, adding gives 2L = 832 so L = 416, and H = 536 − 416 = 120. For any two numbers, product = LCM × HCF, so the product is 416 × 120 = 49920. With one number 104, the other is 49920 ÷ 104 = 480. This is option (b).