# How do you translate into mathematical expressions and find the number given The total of three less than a number and seven is ten?

Jul 1, 2016

The equivalent mathematical expression is $\left(x - 3\right) + 7 = 10 \setminus \iff x + 4 = 10 \setminus \iff x = 6$.

#### Explanation:

Let's write the unknown number as $x$.

"three less than the number" $\setminus \iff$ "three less than $x$" $\setminus \iff$ $x - 3$.

"total of three less than the number and seven" $\setminus \iff$ "total of $\left(x - 3\right)$ and seven" $\setminus \iff$ $\left(x - 3\right) + 7 = x + 4$.

"total of three less than the number and seven is ten" $\setminus \iff$ $x + 4 = 10$.

Now solve this : $x + 4 = 10 \setminus \iff x = 6$.