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The product of two two-digit numbers is 2160 and their HCF is 12. What is the sum of the two numbers?

Competition practiceNumber System, HCF & LCM
  • A96
  • B192
  • C84
  • D108

Step-by-Step Solution

Write them as and with a, co-prime: , so . The pairs (1, 15) give 12 and 180 (180 is not two-digit); (3, 5) give 36 and 60. Sum = 96.
Answer: A) 96

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