2020 · Q9
LCM of two numbers is 28 times their HCF. The sum of the HCF and the LCM is 1740. If one of these numbers is 240, then what is the other number?
Elementary MathematicsHCF and LCM
- A420
- B640
- C820
- D1040
Explanation
HCF+LCM = 29*HCF = 1740, so HCF = 60 and LCM = 1680. The product of the numbers is 60*1680 = 100800, so the other number is 100800/240 = 420. Hence option (A).