Question

what a third of a number is subtracted from ahalf of the same number, 60 is the result. Find the number.

Answer 1

Let's call the number $n$.

Based on the problem, we can create the following equation:

$\dfrac{1}{2} n - \dfrac{1}{3} n = 60$

Now, let's solve for $n$:

$\dfrac{1}{2} n - \dfrac{1}{3} n = 60$

• Set up

$n(\dfrac{1}{2} - \dfrac{1}{3}) = 60$

• Apply the Distributive Property

$\dfrac{1}{6} n = 60$

• Combine like terms

$n = 360$

• Multiply both sides of the equation by 6

The number is 360.