Question

One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number

Answer 1

Equation to find number's value:
`(1)/(5)n + 3n = 2n + 42`

Number's value: n = 35

Step-by-step explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as
`(1)/(5)n`.

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation:
`(1)/(5)n + 3n = 2n + 42`

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation
`(1)/(5)n + n = 42`, which is the same thing as the equation we were using.

Now add n and
`(1)/(5)n` together to get
`1(1)/(5)n`.

After you do this, your equation should look like
`1(1)/(5)n=42`.

Now divide both sides by
`1(1)/(5)` to get n's value.

n = 35