If the lcm is 18 and hcf is 2 wHAT R THE NUMBERS? HOW DID U GET THE RESULT?(WHICH METHOD)

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2 Answers

xiao guguai Profile
xiao guguai answered
The numbers are 2 and 18.
Mark Mottian Profile
Mark Mottian answered
You need to find 3 numbers that multiply to 18, but you are given one of them. In other words, you need to find x and y such that
  x*2*y = 18

One of your numbers will be x*2. The other of your numbers will be 2*y. You are not allowed to choose x and y such that they have any common factors.

From the above equation, we know that
  x*y = 9

From our math facts, we know that
  9 = 1*9 = 3*3

Of these factor pairs, we eliminate 3, 3 because they have 3 as a common factor. Thus, choices for your two numbers are (x, y) = (1, 9)

1*2 = 2, 9*2 = 18 {2, 18} is the only solution to your problem

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