Question

It is possible to divide 1000 into two parts such that their HCF is 15

Answer 1

Answer:No, it is not possible to divide 1000 into two parts thst its answer equal to 15

Answer 2

No , it is not possible to divide 1000 into two parts such that their HCF is 15

Given :

The number 1000

To find :

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

Solution :

Step 1 of 2 :

Assume the numbers

If possible let it is possible to divide 1000 into two parts such that their HCF is 15

Since HCF of the numbers is 15

Let us assume that the numbers are 15x and 15y

Step 2 of 2 :

If possible find the numbers

By the given condition

$\displaystyle \sf{ 15x + 15y = 1000 }$

$\displaystyle \sf{ \implies 15(x + y) = 1000}$

$\displaystyle \sf{ \implies x + y= \frac{1000}{15} }$

$\displaystyle \sf{ \implies x + y= \frac{200}{3} }$

Since 200 is not completely divisible by 3

So it is not possible to find the value of x and y

Thus it is impossible to find the numbers

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

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