πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!

  • google app store apple app store
  • βœ–

      Question

      The combined total of two numbers is 105. Their LCM and HCF

      are 315 and 5 respectively. What is the smaller number?
      A 54 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 32 Correct Answer Incorrect Answer
      D 28 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the smaller number = β€˜x’

      Greater number = (105 – x)

      Product of numbers = LCM Γ— HCF

      Or, x(105 – x) = 5 Γ— 315

      Or, 105x – xΒ² = 1575

      Or, xΒ² – 105x + 1575 = 0

      Or, xΒ² – 60x – 45x + 1575 = 0

      Or, x(x – 60) – 45(x – 60) = 0

      Or, (x – 60)(x – 45) = 0

      So, smaller number = 45

      Practice Next
      ask-question