Question

A number, x, is 4 times another number, y. The difference

between the two numbers is 18. What is the value of the
larger number?

Answer 1

The larger number is 24.

Step-by-step explanation:

In this problem, we have two numbers, x and y. It is given that x is 4 times y, and the difference between the two numbers is 18. Let's define the equations based on the given information:

x = 4y

x - y = 18

We can substitute the value of x in the second equation:

4y - y = 18

Simplifying, we get:

3y = 18

Dividing both sides by 3, we find:

y = 6

Now, substituting the value of y in the equation x = 4y, we can find the value of x:

x = 4(6)

x = 24

Therefore, the value of the larger number is 24.

Answer 2

The value of the larger number is

`x=24`

Step-by-step explanation:

A number, x, is 4 times another number, y.

`x=4y` --------- (1)

The difference between the two numbers is 18.

`x-y=18` -------(2)

Re-arranging equation (2) yields

`-y=18-x\\y=x-18`------------- (3)

Substitute y=x-18 in equation (1)

`x=4 (x-18)`

`x=4x-72\\x-4x=-72`

`-3x=-72\\x=(72)/(3)\\x=24`

Substitute x=24 in equation (3)

`y=24-18\\y=6`