Question

If an integer p is divided by (−4), the quotient is 8. If 8 is divided by another integer q, the quotient is (−4). Find the quotient when p is divided by q

Answer 1

GIVEN :

An integer p is divided by -4, then the quotient is 8. And also given that 8 is divided by another integer q, then the quotient is -4.

TO FIND :

The quotient when p is divided by q where p and q are integers.

SOLUTION :

Given that an integer p is divided by -4, the quotient is 8.

It can be written by using Division Algorithm as below:

$\frac{p}{-4}=8\hfill (1)$ (here dividend=p , divisor=-4 , quotient=8 and remainder=0)

(∵ by Division Algorithm

$Dividend=quotient\times divisor+remainder$)

Also given that 8 is divided by another integer q, the quotient is -4.

It can be written by using Division Algorithm as below:

$\frac{8}{q}=-4\hfill (2)$ (here dividend=8 , divisor=q , quotient=-4 and remainder=0)

(∵ by Division Algorithm

$Dividend=quotient\times divisor+remainder$)

From the equation (1),

$\frac{p}{-4}=8$

$p=8\times (-4)$

$p=-32\hfill (3)$

From the equation (2),

$\frac{8}{q}=-4$

$8=-4\times (q)$

Rewritting the above equation,

$-4\times (q)=8$

$q=\frac{8}{-4}$

$q=-2\hfill (4)$

Now from the given when p is divided by q  can be written as,

That is divide the equation (3) by (4) we get,

$\frac{p}{q}=\frac{-32}{-2}$

$=16$

∴ $\frac{p}{q}=16$

∴ the quotient when p is divided by q is 16.

Answer 2

Answer:

80/90

Step-by-step explanation:

not for cuemath