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If 'X' is twice 'Y' and 'Y' is three times 'Z', what is the relationship between

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Question: If \'X\' is twice \'Y\' and \'Y\' is three times \'Z\', what is the relationship between \'X\' and \'Z\'?

Options:

  1. X is three times Z.
  2. X is six times Z.
  3. X is equal to Z.
  4. Cannot be determined.

Correct Answer: X is six times Z.

Solution: 

If Y = 3Z, then X = 2Y = 2(3Z) = 6Z, so X is six times Z.

If 'X' is twice 'Y' and 'Y' is three times 'Z', what is the relationship between

Practice Questions

Q1
If 'X' is twice 'Y' and 'Y' is three times 'Z', what is the relationship between 'X' and 'Z'?
  1. X is three times Z.
  2. X is six times Z.
  3. X is equal to Z.
  4. Cannot be determined.

Questions & Step-by-Step Solutions

If 'X' is twice 'Y' and 'Y' is three times 'Z', what is the relationship between 'X' and 'Z'?
  • Step 1: Understand that 'X' is twice 'Y'. This means X = 2Y.
  • Step 2: Understand that 'Y' is three times 'Z'. This means Y = 3Z.
  • Step 3: Substitute the value of 'Y' from Step 2 into the equation from Step 1. So, X = 2(3Z).
  • Step 4: Calculate the expression from Step 3. This gives X = 6Z.
  • Step 5: Conclude that 'X' is six times 'Z'.
  • Proportional Relationships – Understanding how to express one variable in terms of another using given relationships.
  • Algebraic Manipulation – Applying algebraic operations to derive relationships between variables.
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