Question

Is it possible to divide 1000 in to two parts such that their hcf may be 15?

Answer 1

Answer

Not Possible at all

Step-by-step

Since 1000 is not divisible by 15, it is not possible to divide 1000 into two parts such that  their HCF may be 15.

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Answer 2

It is not possible to divide 1000 into two parts such that their HCF is 15

Given Number:

1000

To find:

Check if it possible to divide 1000 into two parts such that their HCF is 15

Solution:

Let's assume that it is possible let it is possible to divide 1000 into two parts such that their HCF is 15

Since HCF of the two numbers is 15

Then the numbers will be 15x and 15y

From given condition:

Sum of 15x and 15y will be equal to 1000

⇒ 15x + 15y = 1000

⇒ 15(x+y) = 1000

⇒  x+y = 1000/15  

⇒  x + y = 200/3

Here, 3 will not divide 200 perfectly or the values of x and y will be in decimal number

Which is not satisfy the given conditions

So here, we can conclude that it is not possible to divide 1000 into two parts such that their HCF is 15

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