Twice a number divided by 6 is 42.
Understand the Problem
The question is asking us to find a number, where twice this number divided by 6 equals 42. We will solve this by setting up an equation based on the given information.
Answer
$126$
Answer for screen readers
The final answer is $126$.
Steps to Solve
-
Set up the equation
Let's denote the unknown number as $x$. According to the problem, twice this number divided by 6 equals 42. We can write this as an equation:
$$ \frac{2x}{6} = 42 $$ -
Simplify the equation
We can simplify the left side of the equation by reducing $\frac{2}{6}$ to $\frac{1}{3}$:
$$ \frac{1}{3}x = 42 $$ -
Multiply both sides by 3
To eliminate the fraction, we multiply both sides of the equation by 3:
$$ x = 42 \times 3 $$ -
Calculate the value of (x)
Now we perform the multiplication:
$$ x = 126 $$
The final answer is $126$.
More Information
This means that the number we were looking for, which when doubled and divided by 6 gives us 42, is 126. This problem helps illustrate how to set up and solve equations based on relationships described in words.
Tips
- Not simplifying the fraction: A common mistake is to ignore the simplification of $\frac{2}{6}$. Always reduce fractions where possible to make calculations easier.
- Incorrect multiplication: Some might multiply incorrectly when removing the fraction. Always double-check your calculations when multiplying.
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