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Question

The ratio of three numbers is 5 : 7 : 9 and their LCM is 2835. Find the sum of the greater number and the difference between the first two numbers.

The correct answer is

99

\(315x=2835;\quad x=9;\quad9x+(7x-5x)=99\)

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Important Questions from LCM and HCF

  1. The LCM of $3^3 \times 8^2 \times 13$, $3^2 \times 13^2 \times 16$ and $8^3 \times 13^2 \times 16^2$ is:
  2. The sum of two numbers is 80 and their L.C.M. is 558. What are the two numbers?
  3. The LCM of the numbers 6.3 and 0.07 is:
  4. The HCF and LCM of two numbers are 11 and 330, respectively. If one of the numbers is 110, find the other one.

  5. The sum of two numbers is 57 and their L.C.M. is 812. What are the two numbers?
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