If the sum of two multiples of 7 is 56, which of the following pairs could repre

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Question: If the sum of two multiples of 7 is 56, which of the following pairs could represent these multiples?

Options:

Correct Answer: All of the above.

Solution:

All pairs listed are multiples of 7 that sum to 56.

If the sum of two multiples of 7 is 56, which of the following pairs could represent these multiples?

If the sum of two multiples of 7 is 56, which of the following pairs could represent these multiples?

Step 1: Understand that a multiple of 7 is any number that can be expressed as 7 times an integer (like 7, 14, 21, etc.).
Step 2: Identify that we need two multiples of 7 that add up to 56.
Step 3: Write down the multiples of 7 that are less than or equal to 56: 7, 14, 21, 28, 35, 42, 49, 56.
Step 4: Check pairs of these multiples to see which ones add up to 56.
Step 5: For example, check 7 + 49, 14 + 42, 21 + 35, and 28 + 28.
Step 6: Confirm that all these pairs (7 + 49, 14 + 42, 21 + 35, 28 + 28) sum to 56.
Step 7: Conclude that all pairs listed in the question are valid multiples of 7 that sum to 56.

Multiples of 7 – Understanding that multiples of 7 are numbers that can be expressed as 7n, where n is an integer.
Sum of Numbers – The ability to calculate and verify the sum of two numbers to meet a specific total.