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: $\frac{1}{5}n + 3n = 2n + 42$

Number's value: n = 35

Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as $\frac{1}{5}n$.

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: $\frac{1}{5}n + 3n = 2n + 42$

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

You can subtract 2n from both sides to get the equation $\frac{1}{5}n + n = 42$, which is the same thing as the equation we were using.

Now add n and $\frac{1}{5}n$ together to get $1\frac{1}{5}n$.

After you do this, your equation should look like $1\frac{1}{5}n=42$.

Now divide both sides by $1\frac{1}{5}$ to get n's value.

n = 35