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If the sum of two numbers is 30 and one of them is a multiple of 6, which of the

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Question: If the sum of two numbers is 30 and one of them is a multiple of 6, which of the following could be the two numbers?

Options:

  1. 12 and 18
  2. 10 and 20
  3. 6 and 24
  4. 15 and 15

Correct Answer: 12 and 18

Solution: 

12 is a multiple of 6, and 12 + 18 = 30.

If the sum of two numbers is 30 and one of them is a multiple of 6, which of the

Practice Questions

Q1
If the sum of two numbers is 30 and one of them is a multiple of 6, which of the following could be the two numbers?
  1. 12 and 18
  2. 10 and 20
  3. 6 and 24
  4. 15 and 15

Questions & Step-by-Step Solutions

If the sum of two numbers is 30 and one of them is a multiple of 6, which of the following could be the two numbers?
  • Step 1: Understand that we need two numbers that add up to 30.
  • Step 2: Identify that one of the numbers must be a multiple of 6.
  • Step 3: List the multiples of 6 that are less than 30: 6, 12, 18, 24.
  • Step 4: For each multiple of 6, subtract it from 30 to find the other number.
  • Step 5: Check if the other number is a valid number (non-negative).
  • Step 6: For 6: 30 - 6 = 24 (valid pair: 6 and 24).
  • Step 7: For 12: 30 - 12 = 18 (valid pair: 12 and 18).
  • Step 8: For 18: 30 - 18 = 12 (valid pair: 18 and 12).
  • Step 9: For 24: 30 - 24 = 6 (valid pair: 24 and 6).
  • Step 10: Conclude that pairs like (12, 18) or (6, 24) are valid solutions.
  • Arithmetic Operations – Understanding the relationship between addition and the properties of multiples.
  • Multiples and Factors – Identifying multiples of a given number and their implications in problem-solving.
  • Problem Solving – Applying logical reasoning to find pairs of numbers that meet specific criteria.
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