Question

(h) If a number exactly divides two numbers separately, it must exactly divide their sum

Answer 1

Answer:

Yes it's true

Step-by-step explanation:

15/3 = 5 and 21/3 = 7

Here 15 and 21 are exactly divisible by 3.

15 + 21 = 36 which is also divisible by 3.

Answer 2

Answer:

No, this statement is false.

Step-by-step explanation:

Let's take an example: 10 divides 2 and 5.

Is 10 divisible by 2+5?

Let's check, 10/7 = 1.428571428571429‬, which is a decimal number.

We conclude that:

If a number exactly divides two numbers separately, it won't be able to divide their sum.