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

1 Answer
Shura
Jul 1, 2016

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

Explanation:

Let's write the unknown number as x.

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

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

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

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

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