"The sum of 5 and a number results in 14."

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03-11-2022
Mathematics

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"The sum of 5 and a number results in 14."

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AlayshiaC290515 AlayshiaC290515 · Answer 1 · 2022-11-03T13:12:55-04:00

We are given the phrase "The sum of 5 and a number results in 14." which suggest that we should find such a number. Let x be the number we are looking for, the phrase "The sum of 5 and a number" translates to the equation x+5,, since we are adding 5 to the number.

The part "results in 14" means that after adding 5, we end up having 14 as a result, this means we have

[tex]x+5=14[/tex]

Now, we proceed to solve this equation for x by simply subtracting 5 on both sides. Once we do so, we get

[tex]x=14-5=9[/tex]

so in this case the number we were looking for is x=9.