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

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

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Answer 1 · 2016-07-01T11:37:39

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

Explanation:

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

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

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

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

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

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

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