The LCM and gcf of three number are respectively 360 and 3 if two number are 18 and 24 find third number

Answer 1

To find the third number, we need to use the relationship between the LCM and GCF.

We know that the LCM of three numbers is 360, so the product of the three numbers is equal to 360.

Let's assume that the third number is x.

So, we have:

18 * 24 * x = 360

Simplifying this equation, we get:

432x = 360

Dividing both sides of the equation by 432, we find:

x = 360 / 432

Simplifying further, we get:

x = 5 / 6

Therefore, the third number is 5/6 or 0.8333.

Answer 2

5=2x+y=x-y solve equation

Answer 3

To solve the equation 5 = 2x + y = x - y, we can rearrange it as follows:

2x + y = 5 (Equation 1)
x - y = 5 (Equation 2)

We can solve this system of equations using the method of elimination.

First, let's multiply Equation 2 by 2 to make the coefficients of x in both equations the same:

2(x - y) = 2(5)
2x - 2y = 10 (Equation 3)

Now, we can add Equation 1 and Equation 3 together:

(2x + y) + (2x - 2y) = 5 + 10
4x - y = 15 (Equation 4)

Next, let's add Equation 2 and Equation 4 together:

(x - y) + (4x - y) = 5 + 15
5x - 2y = 20 (Equation 5)

Now, let's solve Equation 5 for x:

5x - 2y = 20
5x = 2y + 20
x = (2y + 20) / 5

Finally, we substitute this value of x back into Equation 2:

x - y = 5
(2y + 20) / 5 - y = 5
2y + 20 - 5y = 25
-3y + 20 = 25
-3y = 5
y = -5/3

Therefore, the solution to the equation system is x = (2y + 20) / 5 and y = -5/3.