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Number System Questions

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  • Numerical Ability - Number System
Question

The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 10, then their difference is

  • A) 10
  • B) 46
  • C) 70
  • D) 90
  • E) None of these
Solution

Ans.1

Let the numbers be x and (100 ?x)
Then, x (100 ?x) = 5 × 495
x2 ?100x + 2475 = 0
(x ?55) (x ? 45) = 0
x = 55 or x = 45
Therefore, the numbers are 45 and 55.
Required difference = (55 ? 45) = 10

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