x * y = 48 x / y = 3

Lets do this!

First for this question we will have to list down the factors of 48

these are what ive got

(1 and 48), ( 2 and 24), (4 and 12), (6 and 8),(3 and 16)

now lets check them

first factor as we know would work so lets skip it now the second one!

it says x * y = 48 and x/y=3

lets take x to be 2 and why to be 24

so 2 x 24 = 48

2/24= 12

12=3(thats 12 is not equal to 3)

Lets try the other one so..

Let us assume 4 to be x and 12 to be y so

4 x 12 = 48

4 / 12 = 3

so 3 = 3

Thats our answer!

x is 4 and y is 12

x * y = 48 x / y = 3

We can solve this using simultaneous equations:

(1)....x*y = 3

48x/y = 3

48x = 3y

(2).....y = 16x

Sub (2) into (1)

x*16x = 3

16x^2 = 3

x^2 = 3/16

x = √3/4

To find y sub x=[√3/4] into (1)

(√3/4)*y = 3

y = 3/(√3/4)

y = 3*(4/√3)

y = 12/√3

y = (12*√3)/3

y = 4*√3

To check:

$$\frac{\sqrt{3}}{4}\times({4}\times{\sqrt{3}})$$

$$\sqrt{3}\times{\sqrt{3}}=3$$

Sorry for my very crude maths. I also believe thare are probably other solutions, as I did not explore the negative root of (3/16) being equal to x.

ooops I just realised the question may have been x * y = 48 and x/y=3 :P

Probably a more conventional way of looking at it.

In that case nice job Rosala!... although if x is 4 and y is 12 then does x/y = 3? I think they may need to be the other way around.

:D