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

  1. 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:
    $$ \frac{2x}{6} = 42 $$

  2. Simplify the equation
    We can simplify the left side of the equation by reducing $\frac{2}{6}$ to $\frac{1}{3}$:
    $$ \frac{1}{3}x = 42 $$

  3. Multiply both sides by 3
    To eliminate the fraction, we multiply both sides of the equation by 3:
    $$ x = 42 \times 3 $$

  4. 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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