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If the sum of two numbers is 30 and one of them is a multiple of 6, which of the
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?
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Practice Questions
1 question
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?
12 and 18
10 and 20
6 and 24
15 and 15
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12 is a multiple of 6, and 12 + 18 = 30.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution:
12 is a multiple of 6, and 12 + 18 = 30.
Steps: 10
Show Steps
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.
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