2015 · Q86
The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one of the numbers is 93, then the other number is
Elementary MathematicsTrigonometry
- A124
- B128
- C134
- D138
Explanation
This uses the HCF–LCM product relation. Let H be the HCF; then LCM = 12H, and H + 12H = 403 gives 13H = 403, so H = 31 and LCM = 372. Since (first number) × (second number) = HCF × LCM, the other number is 31 × 372/93 = 124. Checking: HCF(93, 124) = 31 and LCM(93, 124) = 372, as required. Option (b) 128 would not share HCF 31 with 93. Hence option (a).