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If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?

Practice Questions

Q1
If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?
  1. 6 and 8
  2. 4 and 6
  3. 8 and 10
  4. 10 and 12

Questions & Step-by-Step Solutions

If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?
  • Step 1: Understand that the ratio 3:4 means for every 3 parts of the first number, there are 4 parts of the second number.
  • Step 2: Let the first number be 3x and the second number be 4x, where x is a common multiplier.
  • Step 3: We know the H.C.F. (Highest Common Factor) of the two numbers is 2.
  • Step 4: Since the H.C.F. is 2, we can set x to be 2.
  • Step 5: Calculate the first number: 3 * 2 = 6.
  • Step 6: Calculate the second number: 4 * 2 = 8.
  • Step 7: Therefore, the two numbers are 6 and 8.
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