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If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?

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Question: If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?

Options:

  1. 15 and 20
  2. 10 and 15
  3. 5 and 10
  4. 20 and 25

Correct Answer: 15 and 20

Solution: 

The numbers are 15 and 20, calculated as 3*5 and 4*5.

If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?

Practice Questions

Q1
If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?
  1. 15 and 20
  2. 10 and 15
  3. 5 and 10
  4. 20 and 25

Questions & Step-by-Step Solutions

If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?
  • Ratio and Proportion – Understanding how to express two quantities in relation to each other using ratios.
  • Highest Common Factor (H.C.F.) – Identifying the largest number that divides two or more numbers without leaving a remainder.
  • Multiplication of Ratios – Using the H.C.F. to find the actual numbers from their ratio.
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