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If a number is divisible by two numbers ...

If a number is divisible by two numbers x and y, then it is divisible/not divisible by their sum `x + y`

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To solve the question, "If a number is divisible by two numbers x and y, then it is divisible/not divisible by their sum `x + y`," we will go through the following steps: ### Step-by-Step Solution: 1. **Assume a Number**: Let's assume a number. For this example, we will take the number 28. 2. **Define x and y**: Let’s choose two numbers, x and y. We will take x = 7 and y = 4. 3. **Check Divisibility by x**: We need to check if 28 is divisible by x (which is 7). - Calculation: \( 28 \div 7 = 4 \) - Since 4 is a whole number, 28 is divisible by 7. 4. **Check Divisibility by y**: Now, we check if 28 is divisible by y (which is 4). - Calculation: \( 28 \div 4 = 7 \) - Since 7 is a whole number, 28 is also divisible by 4. 5. **Calculate the Sum of x and y**: Now we calculate the sum of x and y. - Calculation: \( x + y = 7 + 4 = 11 \) 6. **Check Divisibility by the Sum (x + y)**: Finally, we check if 28 is divisible by the sum (which is 11). - Calculation: \( 28 \div 11 \) - This does not yield a whole number (it is approximately 2.545), so 28 is not divisible by 11. 7. **Conclusion**: Therefore, we conclude that if a number is divisible by two numbers x and y, it is not necessarily divisible by their sum \( x + y \). ### Final Answer: The number 28 is not divisible by the sum of 7 and 4 (which is 11). ---
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