Equation to find number's value: [tex]\frac{1}{5}n + 3n = 2n + 42[/tex]
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as [tex]\frac{1}{5}n[/tex].
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: [tex]\frac{1}{5}n + 3n = 2n + 42[/tex]
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation [tex]\frac{1}{5}n + n = 42[/tex], which is the same thing as the equation we were using.
Now add n and [tex]\frac{1}{5}n[/tex] together to get [tex]1\frac{1}{5}n[/tex].
After you do this, your equation should look like [tex]1\frac{1}{5}n=42[/tex].
Now divide both sides by [tex]1\frac{1}{5}[/tex] to get n's value.
n = 35
