If two given numbers are divisible by a number, then their sum is also divisible by that number. Justify your answer.
(4 marks)

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Solution

Let's take an example. Let's consider the two numbers to be 25 and 30 and let's consider their divisibility by 5.
25 and 30 are divisible by 5, as
25 $\div$ 5 = 5
30 $\div$ 5 = 6
(2 marks)
Sum of two numbers = 25 + 30 = 55
55 $\div$ 5 = 11
Therefore, if 25 and 30 are divisible by 5, then their sum that is 55 is also divisible by 5.
(2 marks)

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Question 11

18 is divisible by both 2 and 3. It is also divisible by $2 \times 3 = 6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4 \times 6 = 24 ?$ If not, give an example to justify your answer.

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If two given numbers are divisible by a number, then their sum is also divisible by that number. Justify your answer. (4 marks)

If two given numbers are divisible by a number, then their sum is also divisible by that number. Justify your answer.
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