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Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

  • 1
    63 and 49
  • 2
    64 and 48
  • 3
    62 and 46
  • 4
    64 and 49
  • Show Answer
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Answer : 1. "63 and 49"
Explanation :

Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49

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