Question

Separate 90 into two parts so that one part is four times the other number.

Answer 1

The two parts are 18 and 72, where 72 is four times 18, and their sum is 90.

Let's denote the two parts by x and y, where x is four times y.

Mathematically, this can be represented as:

x=4y

And since the sum of the two parts is 90:

x+y=90

Now, we can substitute the expression for x from the first equation into the second equation:

4y+y=90

Combine like terms:

5y=90

Now, solve for y:

y=
`(90)/(5)` =18

Now that we know y, we can find x by using the first equation:

x=4y=4×18=72

So, the two parts are 18 and 72, where 72 is four times 18, and their sum is 90.

Answer 2

The first part will be 18

The second part will be 72

Step-by-step explanation

To separate 90 into two parts so that one part is four times the other number, we shall perform the following:

Let the first part be x

Let the second part be 4x

So,

`\begin{gathered} x+4x=90 \\ \\ 5x=90 \\ \\ x=(90)/(5) \\ \\ x=18 \end{gathered}`

Therefore, the first part will be 18 and the second part will be (4 x 18) = 72