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The LCM of two numbers is 12 times their HCF. Their sum is 312 and HCF is 24. The larger number is:

Class 10HCF and LCMNumber Systems
  • A288
  • B144
  • C216
  • D240

Step-by-Step Solution

LCM = . Let the numbers be and with a, co-prime. Sum , and LCM . So a, and 12, giving numbers 24 and 288. Larger = 288.
Answer: A) 288

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